1. The rate of spin of a disk is decreasing. A point on the disk that is near th

Question

1. The rate of spin of a disk is decreasing. A point on the disk that is near the rim of the disk will have

D. Zero radial acceleration and a zero tangential acceleration

2. Which of the following would increase the magnitude of the angular acceleration for the image below, assuming the balls are connected by a thin, rigid, massless rod and it rotates about the center of mass Check all that apply.

D. Increasing the force acting on the left ball from 2 N to 3 N.

A. A non-zero radial acceleration and a zero tangential acceleration B. A non-zero radial acceleration and a non-zero tangential acceleration C. Zero radial acceleration and a non-zero tangential acceleration

D. Zero radial acceleration and a zero tangential acceleration

2. Which of the following would increase the magnitude of the angular acceleration for the image below, assuming the balls are connected by a thin, rigid, massless rod and it rotates about the center of mass Check all that apply.

A. Increasing the mass of both balls from 2 kg to 3 kg. B. Decreasing the angle of the force acting on the right ball from 30 degrees to 20 degrees. C. Increasing the angle of the force acting on the left ball from 30 degrees to 40 degrees

D. Increasing the force acting on the left ball from 2 N to 3 N.

Explanation / Answer

Here ,

1) as the angular acceleration of the object is negative

but as it is still rotating

it will have both radial and tangential acceleration

B. A non-zero radial acceleration and a non-zero tangential acceleration

2)

for the increasing the angular acceleration

torque should be increased or the moment of inertia must be decreased

the torque will increase if F * d * sin(theta) which is torque increases , the correct options are

C. Increasing the angle of the force acting on the left ball from 30 degrees to 40 degrees     

D. Increasing the force acting on the left ball from 2 N to 3 N.

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