A force of 250N is applied to the wheel (at the center) as shown. The wheel has

Question

A force of 250N is applied to the wheel (at the center) as shown. The wheel has a radius of 45cm, a mass of 4kg, and a moment of inertia (about the mass center) of 30kg-m2.   Determine (a) the acceleration of the mass center and (b) the rotational acceleration of the wheel (assuming the wheel rolls without slipping).

A force of 250N is applied to the wheel (at the center) as shown. The wheel has a radius of 45cm, a mass of 4kg, and a moment of inertia (about the mass center) of 30kg-m2. Determine (a) the acceleration of the mass center and (b) the rotational acceleration of the wheel (assuming the wheel rolls without slipping).

Explanation / Answer

F=ma =250=4*a acceleartion of c.o.m=62.5m/s^2

torque=I*alpha 250*0.45=30*alpha rotational acceleration of the c.o.m=3.75rad/s2

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