A ball of mass 0.1 Kg. is whirled in a horizontal circle of radius 1 m. by means of a string at an initial speed of 10 R.P.M. Keeping the radius constant, the tension in the string is reduced to one quarter of its initial value. The new speed is

(1) 5 r.p.m.

(2) 10 r.p.m.

(3) 20 r.p.m.

(4) 14 r.p.m.

Concept Questions :-

Uniform circular motion
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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

Concept Questions :-

Uniform circular motion
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A point mass m is suspended from a light thread of length l, fixed at O, is whirled in a horizontal circle at 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) Concept Questions :-

Uniform circular motion
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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

Concept Questions :-

Uniform circular motion
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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

Concept Questions :-

Uniform circular motion
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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) $\sqrt{{R}_{1}{R}_{2}}$

Concept Questions :-

Uniform circular motion
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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

Concept Questions :-

Uniform circular motion
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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

Concept Questions :-

Uniform circular motion
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In a circus stuntman rides a motorbike in a circular track of radius R in the vertical plane. The minimum speed at highest point of track will be

(1) $\sqrt{2gR}$

(2) 2gR

(3) $\sqrt{3gR}$

(4) $\sqrt{gR}$

Concept Questions :-

Uniform circular motion
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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) $\sqrt{Rg}$

Concept Questions :-

Uniform circular motion