Jean is given a two-part question for an assignment about her Physics homework.

Question

Jean is given a two-part question for an assignment about her Physics homework. Answer the following: You can increase the torque you exert on an object by increasing the lever arm of the force. increasing the magnitude of the force. exerting the force 90 degrees to the lever arm. all of the above. Which of the following objects with equal masses and radii has the smallest moment of inertia about the axis of symmetry passing through the center of mass. A hoop. A uniform solid cylinder. A hollow sphere. A uniform solid sphere.

Explanation / Answer

1a

torque is given as

Torque = force * distance * sin(theta)

for increasing the torque ,

we can incerase force , distance , sin(theta)

as sin(theta) is maximum for theta = 90 degree

hence , d) all of the above

1b.

for the same mass and radius ,

smallest moment of inertia is of a solid sphere ,

moment of inertia = 0.4 * m * r^2

d) a uniform solid sphere

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