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Chapter 10: Q9P (page 287)
A drum rotates around its central axis at an angular velocity of . If the drum then slows at a constant rate of .
(a) how much time does it take and
(b) through what angle does it rotate in coming to rest?
a. The time required to slow down is
b. The angle of the rotation when it coming to rest is
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The masses and coordinates of four particles are as follows:;;.
What are the rotational inertias of this collection about the (a) x, (b) y, and (c) z axes? (d) Suppose that we symbolize the answers to (a) and (b) as A and B, respectively. Then what is the answer to (c) in terms of A and B.
In Fig. 10 - 37, two particles, each with mass m = 0.85KG , are fastened to each other, and to a rotation axis at O , by two thin rods, each with length d = 5.6cm and mass M = 1.2kg . The combination rotates around the rotation axis with the angular speed v = 0.30rad/s . Measured about O, what are the combination鈥檚 (a) rotational inertia and (b) kinetic energy?
Our Sun is (light-years) from the center of our Milky Way galaxy and is moving in a circle around that center at a speed of . (a) How long does it take the Sun to make one revolution about the galactic center? (b) How many revolutions has the Sun completed since it was formed about years ago?
The rigid body shown in Fig.consists of three particles connected by massless rods. It is to be rotated about an axis perpendicular to its plane through point P. If , , and , how much work is required to take the body from rest to an angular speed of ?
In Fig. , block has mass , block has mass , and the pulley, which is mounted on a horizontal axle with negligible friction, has radius . When released from rest, block falls in without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension and (c) tension ? (d) What is the magnitude of the pulley鈥檚 angular acceleration? (e) What is its rotational inertia?
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