A uniform cylindrical turntable of radius 1.80 m and mass 31.6 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 47 rad/s. The fixed turntable bearing is frictionless. A lump of clay of mass 2.35 kg and negligible size is dropped onto the turntable from small distance above it and immediately sticks to the turntable at a point 1.70 m to the east of the axis. (a) Find the final angular speed of the clay and turntable. magnitude rad/s direction counterclockwise (b) Is mechanical energy of the turntable-clay system constant in this process? O Yes O No What, if any, is the change in internal energy? J (c) Is momentum of the system constant in this process? O Yes O No What, if any, is the amount of impulse imparted by the bearing? magnitude kg • m/s direction north

A hollow cylinder has radius 9.5 cm and mass 1.8 kg. The cylinder rolls without slipping at a speed of 1.488 m/s, and begins to roll without slipping up a(n) 11° slope. What is the maximum height the cylinder will reach on the inclined plane when it comes to a stop?

An electric motor rotating a workshop grinding wheel at 1.08 x 10 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 2.06 rad/s? (a) How long does it take the grinding wheel to stop? Note that the time required for the wheel to stop is the same as the time for the wheel to start from rest and reach the given angular speed with the same magnitude angular acceleration, s (b) Through how many radians has the wheel turned during the time interval found in part (a)? It might be helpful to translate this problems into linear variables (a car traveling with an initial speed and then slowing down with a constant negative acceleration), rad Need Help? Road Master

A uniform solid cylinder of mass M=2 kg and radius R=0.49 m is given an initial angular speed ω=15 rad/s when it is at the bottom of an inclined plane of height h=4.1 m, as shown in the figure. The cylinder rolls without slipping. Find ω if the cylinder comes to rest at the top of the inclined plane. (Take g=9.81 m/s2, Icylinder=1/2MR2 ).

A ceiling fan can accelerate from rest to 2pi rad/s in 8 seconds. (A) what is the angular acceleration of the fan? (B) find the angular displacement of the fan during the first 5 seconds. (C) at the full angular speed of 2pi rad/s find the corresponding tangential speed of a point at the rim of the wing if the radius of the wing is r=0.5m. (D) what is the centripetal acceleration of a point at the rim (r=0.5 m) when the fan reaches full speed? can you give detailed steps please?

A large wooden turntable in the shape of a flat uniform disk has a radius of 2.00 m and a total mass of 120 kg. The turntable is initially rotating at 3.00 rad/s about a vertical axis through its center. Suddenly, a 70.0 kg parachutist makes a soft landing on the turntable at a point near the outer edge. (a) Find the angular speed of the turntable after the parachutist lands. (As- sume that you can treat the parachutist as a particle.) (b) Compute the kinetic energy of the system before and after the parachutist lands. (c) Are those two kinetic energies equal? If not explain the causes of this difference.

In the system , a 12.0 kg mass is released from rest and falls, causing the uniform 10.0 kg cylinder of diameter 30.0 cm to turn about a frictionless axle through its center. How far will the mass have to descend to give the cylinder 480 J of kinetic energy?

The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 2.3 cm and a mass of 19 grams and is initially at rest. Starting at time t= 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.3 s the disk has an angular velocity of 200 rad/s counterclockwise. Force F, has a magnitude of 0.100 N. What is magnitude F2? Number i Units eTextbook and Media Hint GO Tutorial tv DII DD 888 F12 F10 F11 E7 F8 F9 F6 F4 F5 F1 F2 F3 ) 1 & 23 2$ 4 6 7 8 9. 3 { Q W E Y H K ...- * CO

The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 2.1 cm and a mass of 16 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.3 s the disk has an angular velocity of 260 rad/s counterclockwise. Force F, has a magnitude of 0.105 N. What is magnitude F2? F Number i Units

A horizontal 810-N merry-go-round of radius 1.20 m is started from rest by a constant horizontal force of 55 N applied tangentially to the merry-go-round. Find the kinetic energy of the merry-go-round after 2.0 s. (Assume it is a solid cylinder. Also assume the force is applied at the outside edge.)