1. The blades of a fan running at low speed turn at 290 rpm. When the fan is switched to high speed, the rotation rate increases uniformly to 430 rpm in 5.25 5. What is the magnitude of the angular acceleration of the blades? rad/52 2. In landing, the rotor of a helicopter slows from an angular speed of 4870 rpm to rest in 4.8 5. How many revolutions does the rotor travel during this time? FEV 3. A dentist causes the bit of a highspeed drill to accelerate from an angular speed of 1.45 x 1i)\"t rad/s to an angular speed of 3.30 x 104 rad/s. In the process, the bit turns through 1.84 x 10\" rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 7,00 )1 1(1'l rad/s, starting From rest? 4. A 115 kg scaffold is 5.60 m long. It is hanging with two wires, one from each end. A 440 kg box sits 1.60 m from the left end. What is the tension in the right hand side wire?(g = 9.8 "1152) Newtons 5. An object Weighing 255 N is supported by a uniform 120 N horizontal beam as shown in the gure. The length of the beam is 2.00 m and the distance (x) is 1.55 :11. nd the tension in the guy wire that is connected to the wall if the angle 9 = 45. 6. A 150 kg uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. Calculate the magnitude of the tension in the wire if the angle between the cable and the horizontal is El = 39". N 7. A uniform ladder of mass (m) and length (L) leans against a frirtmnless wall, see figure. If the coefficient of static friction between the ladder and the ground is 0.50, what is the minimum angle (8) between the ladder and the floor at which the ladder will not slip? degrees 8. A mass m1 = 9.00 kg is connected by a light string that passes over a pulley of mass M = 11.5 kg to a mass m2 = 10.5 kg sliding on a horizontal frictionless surface (see fig'Ure). There is no slippage between the string and the pulley. What is the magnitude of the tension that is acting on mass m2? (The moment of inertia of the pulley is VzMri.) _::lN 9. A mass m1 = 19.0 kg is connected by a light string that passes over a pulley of mass M = 11.5 kg to a mass m2 = 6.00 kg sliding on an inclined frictionless surface that makes an angle of 27 with the horizontal (See figure). There is no slippage between the string and the pulley. What is the magnitude of the acceleration of the system of masses? (The moment of inertia of the pulley is 1/2Mr3.) , l::::,-m_l m/S' 10. A 5.60-kilogram hoop starts from rest at a height 1.30 m above the base of an inclined plane and rolls down under the influence of gravity. What is the linear speed of the hoop's center of mass just as the hoop leaves the incline and rolls onto a horizontal surface? (Neglect friction.) m/s