Q6 of 149 Page 194

A body is rotating uniformly about a vertical axis fixed in an inertial frame. The resultant force on a particle of the body not on the axis is

To construct such motion the acceleration always needs to be in a direction to wars the center at every point. So, the force is horizontal and intersecting the axis.

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4

A body is in pure rotation, The linear speed υ of a particle, the distance r of the particle from the axis and the angular velocity ω of the body are related as Thus

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Figure (10-Q3) shows a small wheel fixed coaxially on a bigger one of double the radius. The system rotates about the common axis. The strings supporting A and B do not slip on the wheels. If x and y be the distances travelled by A and B in the same time interval, then


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A body is rotating non-uniformly about a vertical axis fixed in an inertial frame. The resultant force on a particle of the body not on the axis is

 8

Let be a force acting on a particle having position vector Let be the torque of this force about the origin, then