(II) Assume that a 1.00-kg ball is thrown solely by the action of the forearm, which rotates about the elbow joint under the action of the triceps muscle, Fig. 10–52. The ball is accelerated uniformly from rest to 8.5 m/s in 0.35 s, at which point it is released. Calculate (a) the
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- (II) Two masses, mA = 35.0 kg and mB = 38.0 kg, are connected by a rope that hangs over a pulley (as in Fig. 10-59). The pulley is a uniform cylinder of radius 0.381 m and mass 3.1 kg. Initially ma is on the ground and mB rests 2.5 m above the ground. If the system is released, use conservation of energy to deter- mine the speed of mB just before it strikes the ground. Assume the pulley bearing is frictionless. %3D RO mB mA 2.5 m FIGURE 10-59 ba Problem 67. inoni lo (IID) A.arrow_forward(II) A rotating uniform cylindrical platform of mass 220 kg and radius 5.5 m slows down from 3.8 rev/s to rest in 16 s when the driving motor is disconnected. Estimate the power output of the motor (hp) required to maintain a steady speed of 3.8 rev/s.arrow_forward(II) A small rubber wheel is used to drive a large potterywheel. The two wheels are mounted so that their circularedges touch. The small wheel has a radius of 2.0 cm andaccelerates at the rate of 7.2 rad/s and it is in contact withthe pottery wheel (radius 27.0 cm) without slipping. Calculate (a) the angular acceleration of the pottery wheel, and(b) the time it takes the pottery wheel to reach its requiredspeed of 65 rpmarrow_forward
- (II) A nonrotating cylindrical disk of moment of inertia I is dropped onto an identical disk rotating at angular speed w. Assuming no external torques, what is the final common angular speed of the two disks?arrow_forwardA 4.00-kg mass and a 3.00-kg mass are attached to opposite ends of a very light 42.0-cm-long horizontal rod (Fig. 8–61). The system is rotating at angular speed w = 5.60 rad/s about a vertical axle at the center of the rod. Determine (a) the kinetic energy KE of the system, and (b) the net force on each mass. 3.00 kg 4.00 kg FIGURE 8-61 Problem 87.arrow_forwardA 4.00-kg mass and a 3.00-kg mass are attached to opposite ends of a very light 42.0-cm-long horizontal rod (Fig. 8–61). The system is rotating at angular speed v = 5.60 rad/s about a vertical axle at the center of the rod. Determine (a) the kinetic energy KE of the system, and (b) the net force on each mass.arrow_forward
- (I) Calculate the translational speed of a cylinder when itreaches the foot of an incline 7.20 m high. Assume it startsfrom rest and rolls without slippingarrow_forward(II) A cooling fan is turned off when it is running at 850 rev/minIt turns 1250 revolutions before it comes to a stop. (a) What was the fan’s angular acceleration, assumedconstant? (b) How long did it take the fan to come to acomplete stop?arrow_forward(III) Suppose a 65-kg person stands at the edge of a 5.5-mdiameter merry-go-round turntable that is mounted onfrictionless bearings and has a moment of inertia of 1850 kg.m2The turntable is at rest initially, but when theperson begins running at a speed of 4.0 m/s (with respectto the turntable) around its edge, the turntable begins torotate in the opposite direction. Calculate the angularvelocity of the turntable.arrow_forward
- (III) An Atwood machine consists of two masses, ma = 65 kg and mg = 75 kg, connected by a massless inelastic cord that passes over a pulley free to rotate, Fig. 8–52. The pulley is a solid cylin- der of radius R = 0.45 m and mass 6.0 kg. (a) Determine the accelera- tion of each mass. (b) What % error would be made if the moment of ROR inertia of the pulley is ignored? [Hint: The tensions FTA and FrB are not equal. We discussed the Atwood machine in Example 4–13, assuming I = 0 for the pulley.] FTA TB FIGURE 8–52 Problem 47. MB Atwood machine.arrow_forward(II) A small 350-gram ball on the end of a thin, light rodis rotated in a horizontal circle of radius 1.2 m. Calculate(a) the moment of inertia of the ball about the center ofthe circle, and (b) the torque needed to keep the ballrotating at constant angular velocity if air resistance exertsa force of 0.020 N on the ball. Ignore air resistance onthe rod and its moment of inertia.arrow_forward(II) A wheel of diameter 27.0 cm is constrained to rotate in the xy plane, about the z axis, which passes through its center. A force F = (-31.0i + 43.4j) N acts at a' point on the edge of the wheel that lies exactly on the x axis at a particular instant. What is the torque about the rotation axis at this instant?arrow_forward
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College