recitation07-solutions

recitation07-solutions - Physics 2750 Recitation 07 1....

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Unformatted text preview: Physics 2750 Recitation 07 1. During the time a compact disc (CD) accelerates from rest to a constant rotational speed of 477 rev/min, it rotates through an angular displacement of 0.250 rev. What is the angular acceleration of the CD? 2. What is the tangential speed of Nairobi, Kenya, a city near the equator? The earth makes one revolution every 23.93 h and has an equatorial radius of 6380 km. a) 74.0 m/s c) 148 m/s e) 465 m/s b) 116 m/s d) 232 m/s 3. What is the ratio of the tangential acceleration of a point on the end of the rod to that of a point a distance L/2 from the end of the rod? a) 1:1 c) 2:1 e) 1:4 b) 1:2 d) 4:1 4. What is the ratio of the centripetal acceleration of a point on the end of the rod to that of a point a distance L/2 from the end of the rod? a) 1:1 c) 2:1 e) 1:4 b) 1:2 d) 4:1 5. What is the ratio of the angular speed (at any instant) of a point on the end of the rod to that of a point a distance L/2 from the end of the rod? a) 1:1 c) 2:1 e) 1:4 b) 1:2 d) 4:1 6. What is the ratio of the tangential speed (at any instant) of a point on the end of the rod to that of a point a distance L/2 from the end of the rod? a) 1:1 c) 2:1 e) 1:4 b) 1:2 d) 4:1 ij i j 7. A particle located at the position vector r (in meters) has a force F 2 3 (in N) acting on it. The torque about the origin is: a) (1 k )N∙m b) (5 k )N∙m c) (–1 k )N∙m d) (–5 k )N∙m e) (2 + 3 )N∙m j i 8. Four identical particles, each with mass m, are arranged in the x; y plane as shown. They are connected by light sticks to form a rigid body. If m = 2.0 kg and a = 1.0 m, calculate the rotational inertia (moment of inertia) of this array about the y axis 9. An object of mass m is tied to a light string wound around a wheel that has a moment of inertia I and radius R. The wheel bearing is frictionless, and the string does not slip on the rim. Find the tension in the string and the acceleration of the object. Problem 9 Problem 10 10. A sphere of mass m1 and a block of mass m2 are connected by a light cord that passes over a pulley, as shown in the figure. The radius of the pulley is R and the moment of inertia about its axle is I. The block slides on a frictionless, horizontal surface. Find an expression for the linear acceleration of the two objects as a function of m1, m2, I and R. ...
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