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Unformatted text preview: HW-CH10
9th Edition CH10 Problems: 20, 43, 51, 63, 66 8th Edition CH10 Problems: 24, 41, 55, 63, 66
20. An object rotates about a ...xed axis, and the 63. A meter stick is held vertically with one end on angular position of a reference line on the object the oor and is then allowed to fall. Find the is given by = 0:40e2t , where is in radians speed of the other end just before it hits the oor, and t is in seconds. Consider a point on the assuming that the end on the does not slip. oor object that is 4:0cm from the axis of rotation. (Hint: Consider the stick to be a thin rod and At t = 0, what are the magnitude of the point' s use the conservation of energy principle.) (a) tangential component of acceleration and (b) 66. A uniform spherical shell of mass M = 4:5kg radial component of acceleration? and radius R = 8:5cm can rotate about a ver43. The uniform solid block in Fig. 10-37 has mass tical axis on frictionless bearings (Fig. 10-48). 0.172 kg and edge lengths a = 3:5cm, b = 8:4cm, A massless cord passes around the equator of and c = 1:4cm. Calculate its rotational inertia the shell, over a pulley of rotational inertia I = about an axis through one corner and perpen3:0 10 3 kg m2 and radius r = 5:0cm, and is dicular to the large faces. attached to a small object of mass m = 0:60kg. There is no friction on the pulley' axle; the cord s does not slip on the pulley. What is the speed of the object when it has fallen 82 cm after being released from rest? Use energy considerations. 51. In Fig. 10-45, block 1 has mass m1 = 460g, block 2 has mass m2 = 500g, and the pulley, which is mounted on a horizontal axle with negligible friction, has radius R = 5:00cm. When released from rest, block 2 falls 75.0 cm in 5.00 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T2 and (c) tension T1 ? (d) What is the magnitude of the pulley' s angular acceleration? (e) What is its rotational inertia? 1 ...
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This note was uploaded on 05/14/2011 for the course ECON 101 taught by Professor Asdaf during the Spring '11 term at Universidad de San Buenaventura Bogota.
- Spring '11