1. Draw a proper free body diagram for the cart of weight W shown below. If the cable suddenly snaps, what will be the cart's velocity after it has rolled a distance of 7.5 m? You may assume that the cart rolls smoothly on the surface (no friction). Cable 300 The angle shown in the figure is 30 degrees.

A dumbbell has masses m and 2m. Force F, acts on mass m in the direction shown. Is there a force F, that can act on 2m such that the dumbbell moves to the right, 2M without any rotation? If so, draw F2, making sure that its length shows the magnitude of F2 relative to F. Explain briefly. If not, explain why not. M

er... Leeds International... WolfBerry's Watch Video Question 11 A M1 Questions by To... YouTube Mail-Al Habsi, As... G3: (Ahmad, Asma,... 500 N Example 3. A rotor disc on a road vehicle has two tangential forces acting on it. The first force is caused by the engine which causes the rotor disc to accelerate, and has magnitude 2kN. The second force is caused by the friction in the bearings, and it opposes the driving rotation and has magnitude 250 N. The rotor disc has a diameter of 300mm, a thickness of 25mm and is manufactured from carbon ceramic having density 2450 kgm³. 2000 N JB29 CW3 Intr Model the rotor disc as a uniform solid cylinder. i. Derive an equation of motion that describes the system. ii. Calculate the angular acceleration of the rotor disc. iii. If the rotor disc starts from rest, calculate the angular speed of the rotor disc after 10 seconds. iv. Calculate the number of revolutions made in 10 seconds.

F2 30.0 O K 2.00 m 3.00m->l Find the net (or total) torque about point O for the two forces as in the figure above. let F₁ = 7.80N and F₂=15. ON Express your answer in newton-meters. VF1