FIGURE P13.77 A A cam of mass M is in the shape of a circular disk of diameter 2R with an off-center circular hole of diameter R is mounted on a uni- form cylindrical shaft whose diameter matches that of the hole (Fig. P13.78). a. What is the rotational inertia of the cam and shaft around the axis of the shaft? b. What is the rotational kinetic energy of the cam and shaft if the system rotates with angular speed w around this axis? Seso Isissge ht ni beilgas wal broo End view e, if the ball roll Perspective view the ball's nd an object's trans 229112 object R com algu Y C R 0 muhdilippe R21 mundiliups bitsta oldsi2 s pitsta 9-2R- diliuna X

FIGURE P13.77 A A cam of mass M is in the shape of a circular disk of diameter 2R with an off-center circular hole of diameter R is mounted on a uni- form cylindrical shaft whose diameter matches that of the hole (Fig. P13.78). a. What is the rotational inertia of the cam and shaft around the axis of the shaft? b. What is the rotational kinetic energy of the cam and shaft if the system rotates with angular speed w around this axis? Seso Isissge ht ni beilgas wal broo End view e, if the ball roll Perspective view the ball's nd an object's trans 229112 object R com algu Y C R 0 muhdilippe R21 mundiliups bitsta oldsi2 s pitsta 9-2R- diliuna X

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 78PQ: A cam of mass M is in the shape of a circular disk of diameter 2R with an off-center circular hole...

See similar textbooks

Similar questions

A disk rolls up an inclined plane as shown in Figure P12.16, reaches point A, stops there momentarily, and then rolls down the inclined plane. Use the coordinate system shown to determine the direction of the angular velocity and the angular acceleration in each part of the motion as given below. If either one is zero, say so. Explain your answers. a. When the disk is going up the incline. b. At point A when the disk stops momentarily. c. When the disk is rolling down the incline FIGURE P12.16
A bug of mass 0.020 kg is at rest on the edge of a solid cylindrical disk (M=0.10kg,R=0.10m) rotating in a horizontal plane around the vertical axis through its center. The disk is rotating at 10.0 rad/s. The bug crawls to the center of the disk. (a) What is the new angular velocity of the disk? (b) What is the change in the kinetic energy of the system? (c) If the bug crawls back to the outer edge of the disk, what is the angular velocity of the disk then? (d) What is the new kinetic energy of the system? (e) What is the cause of the increase and decrease of kinetic energy?
With the aid of a string, a gyroscope is accelerated from rest to 32 rad/s in 0.40 s under a constant angular acceleration. (a) What is its angular acceleration in rad/s2 ? (b) How many revolutions does it go through in the process?
The following figure shows the cross section of a cylinder of radius 3.6 m rotating about its axis at :3.7 rad/s. The speed of the point P is P. m/s 41.85 .a O m/s 13.32 .b O Can not be determined .c O rad/s 13.32 .dO rad/s 41.85 .e O
3. The 5.0 kg, 60-cm-diameter disk in Figure P12.71 rotates on an axle passing through one edge. The axle is parallel to the floor. The disk is held with the centre of mass at the same height as the axle then released. a. What is the disk's initial angular aceleration? b. What is the disk's angular velocity when it is directly below the axle? Axle 60 cm
The following figure shows the cross section of a cylinder of radius 7.5 m rotating about its axis at :9.0 rad/s. The speed of the point P is rad/s 212.06.a O Can not be determined .b O m/s 212.06.c O m/s 67.50.d O rad/s 67.50.e O
A lawn mower has a flat, rod-shaped steel blade that rotates about its center. The mass of the blade is 0.65 kg and its length is 0.55 m. You may want to review (Pages 314 - 318) . a. What is the rotational energy of the blade at its operating angular speed of 3550 rpm? Express your answer using two significant figures. Kr = J B. If all of the rotational kinetic energy of the blade could be converted to gravitational potential energy, to what height would the blade rise? y= _____ m
Please draw the figure. Thank you.1. The mass of a disk is 10 kg and has a radius of 0.2 m rotating about an axis passing through its center. a. What is the angular acceleration of the disc to bring it to an angular velocity of 150 rad/s in 5s?b. What constant torque is required to bring it up that angular velocity? 2. An engine flywheel and a clutch plate are both connected to a transmission shaft. Let the moment of inertia of the flywheel be I1 and its angular velocity ω1, and let the moment of inertia of the clutch plate be I2 and its angular velocity is ω2. The two discs have then been combined by forces which are applied at their axes of rotation so as not to cause any torque. The discs then reached a common final angular velocity after rotational collision. Find the expression for the final angular velocity.
A slender rod with mass m, = 1.05[kg] and length = 1.65[m] is released from rest at a horizontal position as shown and starts rotating due to gravity about the black hinge. The hinge is placed a distance & above a point mass m = 0.680[kg]. l a. b. l C. h What is the angular velocity of the rod right before it collides with point mass? Suppose that point mass sticks to the end of the rod after collision. What will be the angular velocity of the rod and mass system right after collision? Show that if the bottom of the rod is a distance h above the ground, then the center of mass of the rod is a distance+above the ground. d. What will be the maximum height the bottom of the rod reaches after the collision?
If the steel disk has a mass of 200 kg, a radius of 2 meters, and a smooth low-friction bearing at its center you can make it spin by applying a force to the rim. This torque increases the angular momentum of the disk. Suppose the force is 100 newtons. a. What mass could you pick up with a force of 100 newtons? That will give you a sense of how much force this really is. b. How long would you have to apply this force it to get the wheel spinning 2 times a minute? c. What would happen to the rate of spin if you then jumped on the rim of the wheel with your mass of 75 kg?
A Ferris wheel on a California pier is 27 m high and rotates once every 32 seconds in the counterclockwise direction. When the wheel starts turning, you are at the very top. a. What is your angular position 75 seconds after the wheel starts turning, measured counterclockwise from the top? Express your answer as an angle between 0∘ and 360∘. b. What is your speed?
Suppose a yo-yo has a center shaft that has a 0.258 cm radius and that its string is being pulled. a. if the string is stationary and the yo-yo accelerates away from it at a rate of 2.46 m/s^2, what is its angular acceleration (in rad/s^2)? b. what is the angular velocity (in rad/s) after 0.717 s if it starts from rest? c. the outside radius of the yo-yo is 3.468 cm. what is the tangential acceleration (in m/s^2) of a point on its edge?