A solid, horizontal cylinder of mass 14.0 kg and radius 1.00 m rotates with an angular speed of 6.00 rad/s about a fixed vertical axis through its center. A 0.250-kg piece of putty is dropped vertically onto the cylinder at a point 0.900 m from the center of rotation and sticks to the cylinder. Determine the final angular speed of the system.  rad/s

A uniform wheel in the shape of a solid disk is mounted on a frictionless axle at its center. The wheel has mass 5.00 kgkg and radius 0.800 mm. A thin rope is wrapped around the wheel, and a block is suspended from the free end of the rope. The system is released from rest and the block moves downward. 1) What is the mass of the block if the wheel turns through 8.00 revolutions in the first 5.00 s after the block is released?

4. A cylinder with mass m1 = 2.5 kg and radius r = 20 cm rotates counterclockwise about a vertical axis through its center with angular speed @1=5.0 rad/s. A second cylinder with mass m₂ = 1.0 kg and radius r1= 15 cm rotates clockwise about the same axis with angular speed @2 = 12 rad/s. The upper cylinder is lowered onto the lower one and they couple so they have the same rotational axis. Find the angular speed of the combination. Is kinetic energy conserved? If not, what happened to the a) b) kinetic energy? m₂ = 1.0 kg T2 = 15 cm m₁ = 2.5 kg n W₂ = 12 rad/s T₁ = 20 cm w₁ = 5 rad/s

A system of point particles is shown in the following figure. Each particle has mass 0.280 kg and they all lie in the same plane. What is the moment of inertia of the system about the given axis? 38 cm 25 cm axis 58 cm Submit Answer Tries 0/10 If the system rotates at 4.80 rev/s, what is its rotational kinetic energy?

Determine the speed of the block with a mass of 0.60 kg after it has fallen 145 cm. The sphere is a shell with M = 4.5 kg and R = 8.5 cm. The pully has a rotational inertia of 0.0030 kg m2 and r = 5.0 cm. Use g = 9.8 m/s/s. Use conservation of energy.

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M, a solid cylinder (M=2.27 kg, R=0.131 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.750 kg mass, i.e., F = 7.357 N. Calculate the angular acceleration of the cylinder. R M F

A 3.00 kg solid sphere with a radius of 15 cm is rolling without slipping along a horizontal floor. The magnitude of the velocity of the center of mass is 3.00 m/s. What is the ratio of the sphere's rotational kinetic energy to its translational kinetic energy, KErot / KEtrans? 2.

Chapter 10, Problem 053 GO The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 1.6 cm and a mass of 24 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 290 rad/s counterclockwise. Force F, has a magnitude of 0.102 N. What is magnitude F2? Number Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work

A 5.0 kgkg, 68-cmcm-diameter cylinder in (Figure 1) rotates on an axle passing through one edge. The axle is parallel to the floor. The cylinder is held with the center of mass at the same height as the axle, then released. What is the magnitude of the cylinder's angular velocity when it is directly below the axle?