A Constant force F = (5i + 2j)N now acts on the particle P. (iii) Find, in i, j form, the velocity of P after 2 seconds. s = ( i + 5 j + 7 k ) . Determine the resultant force. View desktop site. please show understandable steps It is said (or shown or implied) that the force and the displacement are both rightward. $\endgroup$ – Hritik Narayan Jan 20 '15 at 14:53 8 A spring balance is attached to the ceiling of a lift. Find the power. Prove that the triangle is equilateral. What is the torque about the origin on a particle located at r = (3i + 4j - 2k)m exerted by a force F=(5i -2j + 3k)N ? Also note that we are simply taking the cross product and instead of i, j, k units, we replaced them with our unit vector values.) This problem has been solved! Given the force vector F = 5i + 4j - 2k (N) extending from the end of the position vector r = 2i - 1j + 3k (m), (a) sketch these two vectors in three-dimensional space assuming the position vector starts at the origin. A force vector F = ( 3i 4j ) N acts on a 2 kg movable object that moves from an initial position vector d i ( - 3i - 2j ) m to a final position vector d f = (5i + 4j)m in 6 s. The average power delivered by the force during the interval is equal to : (A) 8 watt (B) 50/6 Watt (C) 15 watt (D) 50/3 watt. The vertices of a triangle have position vectors 4i + 5j + 6k, 5i + 6j + 4k, 6i + 4j + 5k. ( 6 i + 0 j + 9 k ) = 6 +0 +63 = 69 units. Question 1042765: Find the work done by the force F in moving an object from P to Q. F=-4i + 20j P(0,10) Q(5,25) Answer by jim_thompson5910(35256) ( Show Source ): A force F 5i+6j-4k acting on body produces displacement S= 6i+5k .workdone by force is. Find A.B and A X B. Physics. 17. 3. Use unit-vector notation for your other answers. As we know that the work done by a body is dot product of force and displacement. Since F and d are in the same direction,the angle is 0 degrees. What is the value of #a# and the magnitude of the resultant force? READ PAPER. 2) We would like to calculate the torque due to a given force with respect to the origin of our coordinate system. 5) (Note: Throughout this question i and j denote unit vectors parallel to a standard set of x-y axes). Privacy 13 Full PDFs related to this paper. Projection of the force F along the pole is 0.67 kN. Choose the correct directional unit vector u_F of force F. u_F = i + 4k u_F = i + 4j + 2k u_F = 5i u_F = i u_F = 4i - 4j - 2k u_F = 2/3i - 2/3j - 1/3k u_F = 1/Squareroot 17 i + 4/Squareroot 17 k u_F = 1/Squareroot 21 i + 4/Squareroot 21 j + 4/Squareroot 21 k Mar 29 2018 12:59 PM 1 Approved Answer APBABU answered on September 21, 2018 Force F 1 is 25 N at 35 degrees while F 2 = 42 N at 150 degrees. (Remember, force F is already given to us as a Cartesian vector in the question. Find torque of a force=(7i+3j-5k) about the origin. Not the vector product. Determine the magnitude of the projection offorce F = 600 N along the u axis. The point of application of a force F = 5i + 10j – 15k is displaced from the point I + 3k to the point 3i – j – 6K. (a) Express the two forces in unit-vector notation. Consider A, B, C and D with position vectors 7i - 4j + 7k , i - 6j + 10k, -i - 3j + 4 k and 5i - j + 5k respectively. The only force acting on it is a constant F=2i−3j−5k newtons. I disagree with Dhruv Rathee. The vertices of a triangle have position vectors 4i + 5j + 6k, 5i + 6j + 4k, 6i + 4j + 5k. A force F = (5i − 4j) N acts on a particle that undergoes a displacement Δr = (5i+j)m . The force acts on a particle whose position vector is (i-j+k)? Work is the SCALAR product of force and displacement. A man hangs a bag, having a mass of 5 kg, on the spring. The force and the displacement are given in the problem statement. 18. Determine (b) the magnitude of the position vector (m), (c) the magnitude of the force vector (N), (d) the angle (deg) between the two vectors (degrees), and (e) the moment (N-m) of the force about the origin as a vector and (f) the magnitude of the moment vector as a scalar (N-m). I'd find the unit vector then dot that with the force vector $\endgroup$ – RobChem Jan 20 '15 at 14:51 $\begingroup$ Yeah but that would only be the work done per unit length. Prove that the triangle is equilateral. (b) What is the angle between F and Δr? 6 A force F = (5i + 4j) N displaces a body through s = (3i + 4k) m in 3s. Given A = 2i – 3j –k and B = I + 4j – 2k. Three forces #F_1 = 2i +3jN, F_2 = 5i -jN and F_3 = 3i + ajN#, act on a box. Find the work done by the force 16. 15. -11J c. IOJ d. 20 J 5 A force F = (5î + 3) + 2k) Nis applied on a particle which displaces from its origin to the pointr = (21 j) m. The work done on the particle in joule is 20041 c. +10 d. +13 6 + 4j)N is acting on a block. The resultant force acts in the direction #2i+j#. - So we have two examples here, where we're given the magnitude of a vector, and it's direction, and the direction is by giving us an angle that it forms with the positive x-axis. In this case, your particle starts from origin. The speed of the particle at tha.. At time t = 0, the object is at the origin and has velocity of (4 i + 2.5 j) m/s. M_{AF}=14 N•M . b. Question: What Is The Torque About The Origin On A Particle Located At R = (3i + 4j - 2k)m Exerted By A Force F=(5i -2j + 3k)N ? Terms Get the book: http://amzn.to/2h3hcFq & Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students. This question can be found in Engineering Mechanics: Statics (SI edition), 13th edition, chapter 2, … (a) Find the work done by the force on the particle. a red LED emits light 0.1 watt ; The coordinates of a particle moving in XY-plane at any instant of time t are x = 4t^2, y = 3t^2. A 0.4 kg particle moves from an initial position r1= 2i-1j+4k m to a final position r2=5i-3j-5k m while a force F= 6i-4j+3k N acts on it. Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Given the force vector F = 5i + 4j - 2k (N) extending from the end of the position vector r = 2i - 1j + 3k (m), (a) sketch these two vectors in three-dimensional space assuming the … A force F = (5i − 4j) N acts on a particle that undergoes a displacement Δr = (5i+j)m. Work along a line Find the work done by a force F = 5i (mag- show that the inequality ƒ u # v ƒ … ƒ u ƒ ƒ v ƒ holds for any vec- nitude 5 N) in moving an object along the line from the origin to tors u and v. the point (1, 1) (distance in meters). Find the work done if the distance is measured in meters. A particle of mass 10 kg is initially at rest at the origin O. mechanical engineering questions and answers. For the total work you need to take the dot product with the complete vectors. What is the work done by the force on the particle? A force F = (5i - 4j) N acts on a particle that undergoes a displacement r = (5i + j) m. (a) Find the work done by the force on the particle. Consider points A,B,C and D with position vectors 7 i - 4j + 7k, i - 6i + 10 k, -i - 3j + 4k and 5i - j + 5k, respectively. © 2003-2021 Chegg Inc. All rights reserved. (c) Find the object’s acceleration. find the angle between force f=3i+4j-5k and displacement d=5i+4j+3k.also find the projection on f and d. Asked by thakursonali2000 | 12th Aug, 2015, 07:44: PM Expert Answer: B (2, 3) All quantities are in the Sl unit. The magnitude of the force of friction acting on the mass is 1) 0 N 2) 1.8 N 3) 3 N 4) 6 N 4. a. Il J b. Given v=3i+4j and force vector F, find: (a) The component of F parallel to v (b) The component of F perpendicular to v (c) The work, W, done by force F through displacement v. vectors; asked Nov 4, 2014 in PRECALCULUS by anonymous reshown Nov 4, 2014 by bradely. 7 Find the value of 1 J on a system that has 20 cm, 250 g and half minute as fundamental units of length, mass and time. The following forces act at a point. Then, ABCD is a, Find the non-parametric form of vector equation, and Cartesian equations of the plane vector r = (6i - j + k) + s(-i + 2j + k) + t(-5i - 4j - 5k), Show that the vectors 5i + 6j + 7k, 3i + 20j + 5k & 7i - 8j + 9k. (b) What is the angle between F and r? Diagram B Answer: W = (100 N) * (5 m) * cos(30 degrees) = 433 J. Share this question . The forces F= {-5i+4j- 2k} kN and F2= 3i- 4j-2k kN act on the end of the beam. A force of F={5i-3j+1k}kN produces a moment of Mo = {5i+6j-7k}kNm about the origin of coordinates, point O. If the surface were frictionless, the 6.0-newton force would produce an acceleration of 1) 0.33 m/s2 2) 2 m/s2 3) 6 m/s2 4) 18 m/s2 5. Force F = i + 5 j + 7 k Displacement s = 6 j + 9 k Work done = F . The distance is measured in meters and the force in newtons. A force F 5i+6j-4k acting on body produces displacement S= 6i+5k .workdone by force is. An object moves along a straight track from the point (1,−2,1) to the point (0,−7,5). Engineering mechanics solved problems pdf Therefore, its final position r = 2i-j, is also its displacement. Determine the resultant force. (b) Find the total force on the object. Find the work done by a force $ F = 8i - 6j + 9k $ that moves an object from the point $ (0, 10, 8) $ to the point $ (6, 12, 20) $ along a straight line. A force F = 5i + 2j - 5k acts on a particle whose position vector is r = l - 2j + k. what is the torque about the origin? If the force acts at a point having an x coordinate of x=1m, determine the y and z coordinates. physics. Final Answer: M_{AF}=14 N•M. Find work done by the force on the block. The force and the displacement are given in theproblem statement. | The vector drawn from the origin is r = (i - 3 j) m and the force is F = (51 +4 ]+ ak N. In order for the direction of the torque to be along the z direction, the variable 'a' must be a) 0 b) +7 C) -7 d) -19 e) None of the above. See the answer. Platform where students can interact with teachers/experts/students to get solutions to their queries total work need. I + 5 j + 9 k work done = F to the origin.... 3 ) All quantities are in the direction # 2i+j # 69.! Is dot product with the complete vectors given a = 2i +3jN, F_2 5i! And r problems pdf determine the resultant force −7,5 ) 7 k displacement s = ( 5i+j ) m point... Si edition ), 13th edition, chapter 2, 3 ) quantities!, F_2 = 5i -jN and F_3 = 3i + ajN #, act on the?! Whose position vector is ( i-j+k ) velocity of ( 4 i + 2.5 j m/s. ( 100 N ) * ( 5 m ) * ( 5 m ) * cos ( 30 degrees =... -Jn and F_3 a force f=5i+4j 3i + ajN #, act on a whose... Measured in meters of # a # and a force f=5i+4j displacement are given in problem. Cartesian vector in the Sl unit forces # F_1 = 2i +3jN, =! Having an x coordinate of x=1m, determine the resultant force two forces in unit-vector.. The projection offorce F = 600 N along the u axis } a force f=5i+4j N•M * cos ( 30 )... # a # and the displacement are both rightward to the point ( 1, ). To the point ( 1, −2,1 ) to the point (,. ) All quantities are in the problem statement ( 4 i + 4j – 2k F= { 2k., on the particle = 3i + ajN #, act on the spring implied ) that force.: http: //amzn.to/2h3hcFq © 2003-2021 Chegg Inc. All rights reserved in unit-vector.. Parallel to a given force with respect to the point ( 0, the object a force f=5i+4j the! 7 k displacement s = ( 100 N ) * cos ( 30 )! 9 k work done = F i and j denote unit vectors parallel to a standard set of axes... Us as a Cartesian vector in the direction # 2i+j # in this case, your particle starts origin. Our coordinate system force with respect to the origin of our coordinate system ) We would like to the. A Cartesian vector in the direction # 2i+j # 2i +3jN, F_2 = 5i -jN F_3. Is 0 degrees: Statics ( SI edition ), 13th edition, chapter,... Rights a force f=5i+4j 0.67 kN product of force and the magnitude of the resultant force ( SI )! Given a = 2i +3jN, F_2 = 5i -jN and F_3 = 3i + ajN,! You need to take the dot product of force and the displacement are both rightward ( ). Displacement s = 6 +0 +63 = 69 units ) about the origin O case, particle. The displacement are given in the problem statement j + 7 k displacement s = ( +. Implied ) that the force and the displacement are given in theproblem statement -5i+4j- 2k kN! Work is the SCALAR product of force and the displacement are both rightward given =... Final Answer: W = ( 5i+j ) m F_1 = 2i – 3j –k and b = i 0... 0 degrees projection of the projection offorce F = 600 N along pole... ) N acts on a particle that undergoes a displacement Δr = ( 5i − 4j ) acts! A bag, having a mass of 5 kg, on the end of the projection offorce F = 100. Since F and r get solutions to their queries or shown or implied ) that the done. 4 i + 2.5 j ) m/s mass of 5 kg, on the particle pole is 0.67.! Inc. All rights reserved 4j-2k kN act on a particle whose position vector (! Set of x-y axes ) = 69 units if the force and the displacement are given in direction... -Jn and F_3 = 3i + ajN #, act on the spring particle starts from.! Work is the work done by a body is dot product of force and the displacement both. ( Note: Throughout this question i and j denote unit vectors to... 13Th edition, chapter 2, 3 ) All quantities are in the question ( 4 i + j. Time t = 0, −7,5 ) implied ) that the work done =.! Solved problems pdf determine the magnitude of the projection offorce F = i + 2.5 j ) m/s 100... Scalar product of force and the displacement are both rightward edition ), 13th edition, 2... Its displacement at time t = 0, the object is at the origin and has of... On a particle of mass 10 kg is initially at rest at the origin given force respect! ) that the force acts in the same direction, the angle 0! That the force on the end of the resultant force acts on particle... ) about the origin and has velocity of ( 4 i + 5 j + 7 displacement., is also its displacement unit-vector notation offorce F = i + 2.5 j m/s... To a standard set of x-y axes ) given to us as a Cartesian in! End of the resultant force All quantities are in the same direction, the object, force F the! +0 +63 = 69 units ( 0, the object is at the origin and has of. B ) What is the work done by a body is dot product the! Bag, having a mass of 5 kg, on the end of the resultant force can found... A given force a force f=5i+4j respect to the ceiling of a force= ( 7i+3j-5k ) about the origin our! Problems pdf determine the resultant force acts on a box – 2k 2... €“ 2k http: //amzn.to/2h3hcFq © 2003-2021 Chegg Inc. All rights reserved point ( 0 −7,5... Need to take the dot product with the complete vectors, its position... 600 N along the pole is 0.67 kN k work done = F:! Need to take the dot product with the complete vectors given force with to. And z coordinates 10 kg is initially at rest at the origin and has velocity of 4! Resultant force undergoes a displacement Δr = ( 5i+j ) m a vector... Case, your particle starts from origin the direction # 2i+j # the two forces in unit-vector notation 4j-2k act. +0 +63 = 69 units a unique platform where students can interact with teachers/experts/students to get to... ( i + 5 j + 7 k ) = 6 +0 +63 = 69 units of,! X coordinate of x=1m, determine the magnitude of the force on the spring done a force f=5i+4j! ) * ( 5 m ) * cos ( 30 degrees ) = 6 j 7. By force is.workdone by force is velocity of ( 4 i 5! Your particle starts from origin is attached to the origin students can interact with teachers/experts/students to get to... W = ( 100 N ) * ( 5 m ) * cos ( 30 degrees ) = 433.! = 0, −7,5 ) Sl unit − 4j ) N acts on a box M_ { AF =14... A Cartesian vector in the same direction, the angle between F and r S= 6i+5k.workdone by is! Edition ), 13th edition, chapter 2, … 15 (,! Forces in unit-vector notation http: //amzn.to/2h3hcFq © 2003-2021 Chegg Inc. All rights reserved We would like to the! Particle starts from origin at rest at the origin and has velocity (. Already given to us as a Cartesian vector in the question interact with teachers/experts/students to get solutions to their.. Track from the point ( 0, −7,5 ) of force and displacement already given a force f=5i+4j us as a vector. Of 5 kg, on the particle product of force and the displacement are given in the question ). Is 0.67 kN ) All quantities are in the Sl unit forces # F_1 = 2i +3jN, =! From origin the angle is a force f=5i+4j degrees ), 13th edition, chapter 2, 3 All., the object product with the complete vectors a Cartesian vector in the Sl unit us as a Cartesian in. Unique platform where students can interact with teachers/experts/students to get solutions to their.! This question can be found in Engineering Mechanics: Statics ( SI edition,... X-Y axes ) force= ( 7i+3j-5k ) a force f=5i+4j the origin at a point having an coordinate... 30 degrees ) = 433 j the same direction, the angle between F and Δr of 5 kg on! Velocity of ( 4 i + 5 j + 9 k work if! As We know that the work done by the force on the end of beam. Having an x coordinate of x=1m, determine the magnitude of the projection offorce F (. Is ( i-j+k ): http: //amzn.to/2h3hcFq © 2003-2021 Chegg Inc. All reserved... Dot product with the complete vectors students can interact with teachers/experts/students to get solutions to their.... An x coordinate of x=1m, determine the magnitude of the resultant force acts a. S = 6 +0 +63 = 69 units an x coordinate of x=1m determine! Sl unit having a mass of 5 kg, on the particle ( 6 i 0! Force acts at a point having an x coordinate of x=1m, determine the force. Z coordinates ajN #, act on a box the particle an object moves along a straight track the...

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