For Problems 2 to 6, given A = i + j − 2k, B = 2i − j + 3k, C = j − 5k:2. Find the work done by the force B acting on an object which undergoes the displacement C.3. Find the total work done by forces A and B if the object undergoes the displacementC. Hint: Can you add the two forces first?4. 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 a line through O parallel to C.5. 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.6. In Problem 5, draw B with its tail at the head of A. If the figure is rotating as in Problem 5, find the velocity of the head of B. With the same diagram, let B be a force; find the torque of B about the head of C, and about the line C.
For Problems 2 to 6, given A = i + j − 2k, B = 2i − j + 3k, C = j − 5k:
2. Find the work done by the force B acting on an object which undergoes the displacement C.
3. 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?
4. 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 a line through O parallel to C.
5. 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.
6. In Problem 5, draw B with its tail at the head of A. If the figure is rotating as in Problem 5, find the velocity of the head of B. With the same diagram, let B be a force; find the torque of B about the head of C, and about the line C.
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