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Question :
1. A vault opened by applying a force of 300 : 2102157

1. A vault is opened by applying a force of 300 N perpendicular to the plane of the door, 0.80 m from the hinges. Find the torque due to this force about an axis through the hinges.

A. 120 N?m

B. 240 N?m

C. 300 N?m

D. 360 N?m

2. A 3.0-m rod is pivoted about its left end. A force of 6.0 N is applied perpendicular to the rod at a distance of 1.2 m from the pivot causing a ccw torque, and a force of 5.2 N is applied at the end of the rod 3.0 m from the pivot. The 5.2 N is at an angle of 30? to the rod and causes a cw torque. What is the net torque about the pivot?

A. 15 N?m

B. 0 N?m

C. -6.3 N?m

D. -0.6 N?m

3. A rod of length L is pivoted about its left end and has a force F applied perpendicular to the other end. The force F is now removed and another force F' is applied at the midpoint of the rod. If F' is at an angle of 30? with respect to the rod, what is its magnitude if the resulting torque is the same as when F was applied?

A. F

B. 2F

C. 3F

D. 4F

4. Two children seat themselves on a seesaw. The one on the left has a weight of 400 N while the one on the right weighs 300 N. The fulcrum is at the midpoint of the seesaw. If the child on the left is not at the end but is 1.50 m from the fulcrum and the seesaw is balanced, what is the torque provided by the weight of the child on the right?

A. 600 N?m

B. 450 N?m

C. -600 N?m

D. -450 N?m

5. A bucket filled with water has a mass of 23 kg and is attached to a rope, which in turn, is wound around a 0.050-m radius cylinder at the top of a well. What torque does the weight of water and bucket produce on the cylinder if the cylinder is not permitted to rotate? (*g* = 9.8 m/s^{2})

A. 34 N?m

B. 17 N?m

C. 11 N?m

D. 23 N?m