# A motor cyclist moving with a velocity of 72 km/hour on a flat road takes a turn on the road at a point where the radius of curvature of the road is 20 meters. The acceleration due to gravity is 10 m/sec2. In order to avoid skidding, he must not bend with respect to the vertical plane by an angle greater than  (1) $\theta ={\mathrm{tan}}^{-1}6$ (2) $\theta ={\mathrm{tan}}^{-1}2$ (3) $\theta ={\mathrm{tan}}^{-1}25.92$ (4) $\theta ={\mathrm{tan}}^{-1}4$

Subtopic:  Uniform Circular Motion |
77%
PMT - 1986
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A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance ‘r’. The speed of the particle is

(1) Proportional to r2

(2) Independent of r

(3) Proportional to r

(4) Proportional to 1/r

Subtopic:  Uniform Circular Motion |
From NCERT
PMT - 1995
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Two masses M and m are attached to a vertical axis by weightless threads of combined length l. They are set in rotational motion in a horizontal plane about this axis with constant angular velocity ω. If the tensions in the threads are the same during motion, the distance 'x' of M from the axis is-

(1) $\frac{Ml}{M+m}$

(2) $\frac{ml}{M+m}$

(3) $\frac{M+m}{M}l$

(4) $\frac{M+m}{m}l$

Subtopic:  Uniform Circular Motion |
64%
From NCERT
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A 500 kg car takes a round turn of radius 50 m with a velocity of 36 km/hr. The centripetal force is

(1) 250 N

(2) 750 N

(3) 1000 N

(4) 1200 N

Subtopic:  Uniform Circular Motion |
86%
From NCERT
PMT - 1999
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A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved

(1) 14 m/s

(2) 3 m/s

(3) 3.92 m/s

(4) 5 m/s

Subtopic:  Uniform Circular Motion |
77%
From NCERT
PMT - 1998
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A body of mass 5 kg is moving in a circle of radius 1m with an angular velocity of 2 radian/sec. The centripetal force is

(1) 10 N

(2) 20 N

(3) 30 N

(4) 40 N

Subtopic:  Uniform Circular Motion |
87%
From NCERT
AIIMS - 1998
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A stone of mass of 16 kg is attached to a string 144 m long and is whirled in a horizontal circle. The maximum tension the string can withstand is 16 Newton. The maximum velocity of revolution that can be given to the stone without breaking it will be-

(1) 20 ms–1

(2) 16 ms–1

(3) 14 ms–1

(4) 12 ms–1

Subtopic:  Uniform Circular Motion |
85%
From NCERT
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Find the maximum velocity for skidding for a car moved on a circular track of radius 100 m. The coefficient of friction between the road and tyre is 0.2

(1) 0.14 m/s

(2) 140 m/s

(3) 1.4 km/s

(4) 14 m/s

Subtopic:  Uniform Circular Motion |
76%
From NCERT
PMT - 1996
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A ball of mass $$0.1~\text{kg}$$ is whirled in a horizontal circle of radius $$1$$ m by means of a string at an initial speed of $$10~\text{rpm}$$ . Keeping the radius constant, the tension in the string is reduced to one quarter of its initial value. The new speed is:

 1 $$5~\text{rpm}$$ 2 $$10~\text{rpm}$$ 3 $$20~\text{rpm}$$ 4 $$14~\text{rpm}$$
Subtopic:  Uniform Circular Motion |
71%
From NCERT
PMT - 2001
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A cyclist riding the bicycle at a speed of $14\sqrt{3}$ms–1 takes a turn around a circular road of radius $20\sqrt{3}$m without skidding. Given g = 9.8 ms–2, what is his inclination to the vertical?

(1) 30o

(2) 90o

(3) 45o

(4) 60o

Subtopic:  Uniform Circular Motion |
71%
From NCERT
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