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P140_E3_W04 - Physics 140 Winter 2004 Midterm 3 1(P The...

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Physics 140 Winter 2004 Midterm 3 1 1. (P) The figure below shows an 18.0kg crate of salami sliding down a ramp on a (massless) rope that is wrapped around a disk of radius 0.25m and mass 6.0kg. The coefficient of kinetic friction between the crate and ramp is μ k =0.24. What is the magnitude of the disk’s angular acceleration? a) 3.1 rad/s 2 b) 6.7 rad/s 2 c) 9.8 rad/s 2 d) 11.4 rad/s 2 e) 13.7 rad/s 2 2. (P) A uniform solid sphere rests suspended from a cord anchored at point P along an inclined plane. Which of the following statement(s) is(are) true ? C P
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2 3. (P) A rigid assembly consists of a thin hoop of radius R and mass m attached to a thin rod also of mass m and length 2 R rests in the vertical position shown in the figure below. Given a tiny nudge (involving negligible energy) from behind, the assembly rotates about the horizontal axis shown. What is its angular speed as it passes through the inverted (upside-down) orientation? a) (96g/65 R ) 1/2 b) (33g/15 R ) 1/2 c) (48g/17 R ) 1/2 d) (17g/12 R ) 1/2 e) (8mg/15 R ) 1/2 4. Kepler’s second law of planetary motion – the observation that the orbits of planets sweep out equal areas around the Sun in equal times – mainly reflects the conservation of which physical quantity? rotation axis hoop rod
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3 5. Three coplanar bodies A, B and C with masses m , 2 m , and 8 m , respectively, are shown below. At what ( x,y ) location should a fourth body D of mass 8 m be placed such that the total gravitational force on body A is zero? a) ( –2 1/4 d , 2 1/4 d ) b) (2 1/4 d , d /2 1/4 ) c) (2 1/4 d , –2 1/4 d ) d) ( d /2 1/4 , – d /2 1/4 ) e) ( d /2 1/4 , –2 1/4 d )
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