Please solve all questions For Problems 2 to 6, given A =i+j- 2k, B = 2i – j+ 3k, C =j- 5k:Find the work done by the force B acting on an object which undergoes the dis-placement C.2.Find the total work done by forces A and B if the object undergoes the displacementC. Hint: Can you add the two forces first?3.Let O be the tail of B and let A be a force acting at the head of B. Find the torqueof A about O; about a line through O perpendicular to the plane of A and B; abouta line through O parallel to C.4.Let A and C be drawn from a common origin and let C rotate about A with anangular velocity of 2 rad/sec. Find the velocity of the head of C.5.In Problem 5, draw B with its tail at the head of A. If the figure is rotating as inProblem 5, find the velocity of the head of B. With the same diagram, let B be aforce; find the torque of B about the head of C, and about the line C.6.7.A force F = 2i – 3j + k acts at the point (1,5, 2). Find the torque due to F(a)about the origin%3;(b)about the y axis;(c)about the line /2 = y/1 = z/(-2).A vector force with components (1, 2, 3) acts at the point (3, 2, 1). Find the vectortorque about the origin due to this force and find the torque about each of thecoordinate axes.8.The force F = 2i – j – 5k acts at the point (-5, 2, 1). Find the torque due to Fabout the origin and about the line 2x = -4y = -z.9.

Answered: Image /qna-images/answer/e5e930f2-ee77-4cc9-8c7d-61aa815fd228.jpg

For Problems 2 to 6, given A = i+j- 2k, B = 2i – j+ 3k, C = j– 5k: Find the work done by the force B acting on an object which undergoes the dis- placement C. 2. Find the total work done by forces A and B if the object undergoes the displacement C. Hint: Can you add the two forces first? 3. Let O be the tail of B and let A be a force acting at the head of B. Find the torque of A about O; about a line through O perpendicular to the plane of A and B; about 4.

For Problems 2 to 6, given A = i+j- 2k, B = 2i – j+ 3k, C = j– 5k: Find the work done by the force B acting on an object which undergoes the dis- placement C. 2. Find the total work done by forces A and B if the object undergoes the displacement C. Hint: Can you add the two forces first? 3. Let O be the tail of B and let A be a force acting at the head of B. Find the torque of A about O; about a line through O perpendicular to the plane of A and B; about 4.