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Physics 20700 MMx Exam 3 Fall 2016 Prof. Gersten Name Circle the correct answer

ID: 1793928 • Letter: P

Question

Physics 20700 MMx Exam 3 Fall 2016 Prof. Gersten Name Circle the correct answer Problen 1 Seat: A hollow cylindrical wheel of mass M, inner radius /i and out radius r, ros witho horizontal plane. It is pulled by a horizontal string with tension T. The moment of inertia of the wheel about its center is I. Let M 4 kg, 0.8 m, - 2.0 kg m' and T-7N. ut slipping on aa A) Find the inner radius r, (in m) a) 1.065 b) 1.4960.600d) 0.786 B) Find the vertical component of the force that the horizontal plane exerts on the wheel (in N) a) 39.2b) 34.3 29.4 d) 24.5 2. 2. Find the angular acceleration fin rad/s ) of the wheel. 2.46 C) a) 2.02 , b) 1.61 c) 1.22 D) Find the linear acceleration (in m/s') of the center of mass of the wheel) a) 0917 1.965 1.822 d) 1.613 E) Find the magnitude of the friction force (in N) exerted by the plane on the wheel. a) 0.377 ,b) 0.161 , 1.707 d) 0.860

Explanation / Answer

b] Since the mass in not accelerating in vertical direction,

N - mg = 0

N = mg = 4*9.8 = 39.2 N OPTION A

e] friction f = ma -T

= 4*1.965 -7

= 0.86 N. option d