Question

1. A person is mowing his lawn. He applies 100 Newton force downward at 37^o with respect to the horizontal. The mawing machine has a mass of 20 kg, and the lawn presents a 40 Newton horizontal frictional force again the moving direction. (a) draw a free-body diagram for the mowing machine to show all forces it is subject to; (b) Establish a coordinate system of your choice; (c) Apply the Newton's 2nd Law to x-direction and y-direction respectively; (d) find the acceleration of the mowing machine.

2. A block object A with a mass of 5 kg is hung between two vertical walls by three ropes through a knot in such an arrangement that one rope remains horizontal, while the other makes an angle of 20^° with respect to the horizontal.  The third rope is of course remain vertical due to its weight.  Find the tensions in each rope.

Answer 1