If a particle moves with a uniform angular velocity ? radians/sec along the circ

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Question
If a particle moves with a uniform angular velocity ? radians/sec along the circumference of a circle of radius r, the equation for the velocity of the particle, is
Options
A. v = ?
B. y = ? y - r
C. v = ?
D. v = ?

Correct Answer

v = ?

Applied Mechanics problems

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1. A train weighing 196 tonnes experiences a frictional resistance of per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is
Options
A. 510 m/sec
B. 105 m/sec
C. 53 m/sec
D. 35 m/sec.

3. The acceleration of a particle moving along the circumference of a circle with a uniform speed, is directed
Options
A. radially
B. tangentially at that point
C. away from the centre
D. towards the centre.

5. A particle executes a simple harmonic motion. While passing through the mean position, the particle possesses
Options
A. maximum kinetic energy and minimum potential energy
B. maximum kinetic energy and maximum potential energy
C. minimum kinetic energy and maximum potential energy
D. minimum kinetic, energy and minimum potential energy
E. none of these.

6. A body of weight 14 g appears to weight 13 g when weighed by a spring balance in a moving lift. The acceleration of the lift at that moment was
Options
A. 0.5 m/sec²
B. 0.7 m/sec²
C. 1 m/sec²
D. 1 cm/sec².

10. If a body is acted upon by a number of coplaner non-concurrent forces, it may
Options
A. rotate about itself without moving
B. move in any one direction
C. move in any one direction rotating about itself
D. be completely at rest
E. all the above.

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