007 (part 1 of 3) 10.0 points A 16 kg mass is attached to a cord that is wrapped

Question

007 (part 1 of 3) 10.0 points A 16 kg mass is attached to a cord that is wrapped around a wheel with a radius of 10.7 cm, as shown. The acceleration of the mass down the frictionless incline is measured to be 1.6 m/s2. Assume the axle of the wheel to be frictionless 0.7 cm 16 kg 39° Find the force in the rope. The acceleration of gravity is 9.81 m/s2 Answer in units of N. 008 (part 2 of3) 10.0 points Find the moment of inertia of the whee Answer in units of kg m2 009 (part 3 of 3) 10.0 points Find the angular speed of the wheel 3.6 s after it begins rotating, starting from rest

Explanation / Answer

Tension in the rope, T

m*g*sin(39) - T = m*a
T = m*g*sin(39) - m*a
T = 16*9.8*sin(30) - 16*1.6
T = 52.8 N

(B)
= a/r
Torque = I*
T*r = I*
52.8*0.107 = I*(1.6/0.107)
I = 0.38 Kg/m^2

(c)
Angular Acceleration,

= a/r = 1.6/0.107 = 14.95 rad/s^2
= + t
= 0 + 14.95 * 3.6
= 53.82 rad/s

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