Show the process of solving each problem. The answer is already provided.

Review Assignment Kinetics

Kinetics, the study of unbalanced forces causing motion, can be analyzed by three methods: inertia force or torque (dynamic equilibrium), work and energy, and impulse and momentum.

Consider the following as you complete your assignment:

· For linear motion the inertia force is

· Equal to

*ma*

· Acting through the center of gravity

· Opposite in direction to the acceleration

· For rotational motion the inertia torque is

· Equal to C

· Opposite in direction to the angular acceleration

· For a plane motion problem such as a rolling cylinder, try to

· Equate or relate linear acceleration to angular acceleration.

· Take moments at the rolling point of contact with the surface.

**Chapter 13: **Kinetics

· Section: Problems

· 13-1

Determine the acceleration of the 150-lb block in Figure P13–1 if the coefficient of kinetic friction is 0.4.

a = 9.05 ft/s^2 →

· 13-3

A 130-kg cart is accelerated horizontally by a 250-N force pulling at an angle of 20° above horizontal. Neglecting rolling resistance, determine the acceleration of the cart.

a = 1.81 m/s^2

· 13-7

At what maximum acceleration rate can a 500-N test-strength cable lift a 40-kg mass?

a = 2.69 m/s^2 ↑

· 13-8

What force does a 180-lb man exert on the floor of an elevator that is moving downward and decelerating at 15 ft/s2?

264 lb

· 13-20

The coefficient of kinetic friction for mass B in Figure P13–20 is 0.25. Determine the acceleration of mass A if it has a mass of (a) 30 kg and (b) 50 kg.

aA = 0.76 m/s^2 aA = 0

· 13-36

A 1000-kW generator has a 3500-lb rotor that is accelerated from rest to 3600 rpm in 10 seconds. Determine the torque required. Assume the rotor to be a solid cylinder 40 in. in diameter.

T = 5690 lb-ft

· 13-41

A 150-mm-diameter shaft with a mass of 20 kg is rotating at 900 rpm. A pulley mounted on the shaft has a mass moment of inertia of 0.15 kg ⋅ m2. If the shaft and the pulley coast to a stop due to a tangential frictional force of 8lb at the outer radius of the shaft, determine the time required.

58.9 s