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I Due DaLe, 495312018 1159.300 PM End Date: 4/17/2018 11:59:00 PM (10%) Problem

ID: 2035093 • Letter: I

Question

I Due DaLe, 495312018 1159.300 PM End Date: 4/17/2018 11:59:00 PM (10%) Problem 3: Two blocks are joined bya massless string which passes through the center of a rotating turntable. The blocks have masses Mi - 12 kg and M2-2.9 kg. Block 1 rests a distance r 0.49 m from the center of the turntable. The coefficient of static friction between block and turntable is A, 051. Block 2 hangs vertically underneath. ©theexpertta.com P à At what velocity will the first block start to move outward in m/s? Grade Summary Deductions 0% Potential 100% Submissions Atempts remaining: 5 0e per attempt) sin0 tan0 ( cosO cotan0 asin0 acos0 atan0 acotan0 sinh0 coshO tanh0 cotanho O Degrees O Radians vlew Submit Hint Feedback: 0% deduction per feedback Hints: 0% deduction per hint. Hints remaining 5

Explanation / Answer

Tension in the string, T = M2*g

= 2.9*9.8
= 19.6 N

net force acting on M1, Fnet1 = Fs + T

M1*a = mus_s*N + T

M1*a = mue_s*M1*g + T

M1*v^2/r = mue_s*M1*g + T

v^2 = mue_s*g*r + T*r/M1

v = sqrt(mue_s*g*r + T*r/M1)

= sqrt(0.51*9.8*0.49 + 19.6*0.49/1.2

= 3.23 m/s