qz4sp08sol - PHY2053 Discussion Quiz 4(Chapter 4.1-4.5&...

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Unformatted text preview: February 15, 2008 PHY2053 Discussion Quiz 4 (Chapter 4.1-4.5 & 5.1-5.2) Name: UFID: **1. (5 pts) A 4.00 kg block lies on a 45º incline and is attached to a light string that passes over a pulley and is then fastened to an 8.00 kg hanging object. The coefficient of kinetic friction between the incline and the block is 0.25. Find the acceleration of the block. Taking the positive x-axes in the directions of motion, the equations of motion for the block and the hanging object are ma = T-mgsin -μmgcos θ θ Ma = Mg-T. To remove T, we add these two equations and solve for the acceleration: (m+M)a = Mg- mgsin -μmgcos θ θ ⇒ a = (Mg- mgsin -μmgcos )/(m+M) θ θ = 9.8 × (8-4sin45º-0.25 × 4cos45º)/12 = 3.65 m/s² **2. (5 pts) A 2.00 kg block lies on the left edge of a plank which has a length of 3.00 m **2....
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qz4sp08sol - PHY2053 Discussion Quiz 4(Chapter 4.1-4.5&...

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