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# hw9 - Homework No 9 Energy equation Y&F 7.46 Ans(a 2.5R(b C...

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Homework No. 9 Energy equation Y&F 7.46 Ans : (a) 2.5 R (b) υ C = 31.3 m/s, a n = 49 m/s 2 and a t = 9.8 m/s 2 at C 60° υ 0 L CHANG 1 A sphere (mass m ) tied to a string (length L ) is held at θ = 60° position and then given an initial speed υ 0 as shown to start the vertical circular motion. Find the minimum value of the initial speed for the sphere to complete the loop and the corresponding tension in the string when the sphere is at the bottom of the loop. Ans : 2 gL , 6 mg CHANG 2 The small glider ( m = 5 Kg) is held at rest against the spring ( k = 1500 N/m) as shown, and the glider is released and then slides along the track. The track is frictionless except for a horizontal rough section with length d = 1.2 m, and the radius of the vertical circular loop is R = 0.8 m. (a) If the minimum initial compression in the spring is x min = 0.4 m required for the glider to complete the loop, find the coefficient of friction μ k on the rough section. (b) If the force acting on the slider by the track at point C is 302 N, find the velocity of the glider at point B

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