# 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 |
77%
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%
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A point mass $$m$$ is suspended from a light thread of length $$l,$$ fixed at $$O$$, and is whirled in a horizontal circle at a constant speed as shown. From your point of view, stationary with respect to the mass, the forces on the mass are:

 1 2 3 4
Subtopic:  Uniform Circular Motion |
56%
From NCERT
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If a cyclist moving with a speed of 4.9 m/s on a level road can take a sharp circular turn of radius 4 m, then coefficient of friction between the cycle tyres and road is

(1) 0.41

(2) 0.51

(3) 0.61

(4) 0.71

Subtopic:  Uniform Circular Motion |
81%
From NCERT
AIIMS - 1999
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A motor cycle driver doubles its velocity when he is having a turn. The force exerted outwardly will be

(1) Double

(2) Half

(3) 4 times

(4) $\frac{1}{4}$ times

Subtopic:  Uniform Circular Motion |
84%
From NCERT
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Two bodies of equal masses revolve in circular orbits of radii R1 and R2 with the same period. Their centripetal forces are in the ratio

(1) ${\left(\frac{{R}_{2}}{{R}_{1}}\right)}^{2}$

(2) $\frac{{R}_{1}}{{R}_{2}}$

(3) ${\left(\frac{{R}_{1}}{{R}_{2}}\right)}^{2}$

(4) $\sqrt{{R}_{1}{R}_{2}}$

Subtopic:  Uniform Circular Motion |
71%
From NCERT
PMT - 2004
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A mass is supported on a frictionless horizontal surface. It is attached to a string and rotates about a fixed centre at an angular velocity ω0. If the length of the string and angular velocity are doubled, the tension in the string which was initially T0 is now

(1) T0

(2) T0/2

(3) 4 T0

(4) 8 T0

Subtopic:  Uniform Circular Motion |
71%
From NCERT
AIIMS - 1985
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Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in horizontal circles centred at O. If the velocity of the outermost particle is v0, then the ratio of tensions in the three sections of the string is

(1) 3 : 5 : 7

(2) 3 : 4 : 5

(3) 7 : 11 : 6

(4) 3 : 5 : 6

Subtopic:  Uniform Circular Motion |
From NCERT
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A block of mass m at the end of a string is whirled round in a vertical circle of radius R. The critical speed of the block at the top of its swing below which the string would slacken before the block reaches the top is

(1) Rg

(2) (Rg)2

(3) R/g

(4) $\sqrt{Rg}$

Subtopic:  Non Uniform Vertical Circular Motion |
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