1. A wheel starts from rest and rotates about its axis with constant angular acceleration. After 6.50 s have elapsed, it has rotated through an angle of 24.0 radians. What is the angular velocity when the time t = 6.50 s? rad/s 2. The blades of a fan running at low speed turn at 260 rpm. When the fan is switched to high speed, the rotation rate increases uniformly to 440 rpm in 5.90 5. What is the magnitude of the angular acceleration of the blades? rad/s2 3. During a tennis serve, a racket is given an angular acceleration of magnitude 155 rad/52. At the top of the serve, the racket has an angular speed of 14.0 rad/s. If the distance between the top of the racket and the shoulder is 1.50 m, find the magnitude of the total acceleration of the top of the racket. m/s2 4. A 105 kg scaffold is 5.80 m long. It is hanging with two wires, one from each end. A 580 kg box sits 1.60 m from the left end. What is the tension in the right hand side wire?(g = 9.8 m/sz) Newtons 5. A 130 kg uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. a) Calculate the magnitude of the vertical component of the force that the wall exerts on the left end of the beam if the angle between the cable and horizontal is 0 = 41. N 6. A uniform ladder of mass (m = 13.0 kg) and length (L) leans against a frictionless wall, see gure. If the angle 0 = 60.0, find the static friction force between the ladder and the floor when a 95.0-kg person stands half way up the ladder? N 7. A block of mass m = 2.70 kg is hanging from a massless cord that is wrapped around a pulley (mass = 5.00 kg) as shown in the figure. The cord does not slip relative to the pulley as the block falls. Find the magnitude of the tension in the cord. (moment of inertia of the pulley = 1/2Mr2) 8. A mass m1 = 7.50 kg is connected by a light string that passes over a pulley of mass M = 12.0 kg to a mass m2 = 12.5 kg sliding on a horizontal surface (see figure). The coefficient of kinetic friction between the mass m2 and the surface is 0.2. There is no slippage between the string and the pulley. What is the magnitude of the tension that is acting on mass mg? (The moment of inertia of the pulley is I/2Mr1.) N 9. A mass m1 = 5.00 kg is connected by a light string that passes over a pulley of mass m3 = 6.5 kg to a mass m2 = 9.00 kg sliding on a frictionless inclined surface that makes an angle of 28 with the horizontal (see figure). The coefficient of kinetic friction between the mass m1 and the horizontal surface is 0.21. There is no slippage between the string and the pulley. What is the magnitude of the acceleration of the system? (The moment of inertia of the pulley is 1/2Mr2.) 10. An object weighing 240 N is supported by a uniform 125 N horizontal beam as shown in the figure. The length of the beam is 2.50 m and the distance (x) is 2.05 m. Find the tension in the guy wire that is connected to the wall if the angle 6 = 45. N