Calculate the following for the situation shown:- (a) Speed at D . (b) Normal reaction at D R C . (c) Height H

a From conservation of mechanical energy principle at point D with respect to point C K E C + P E C = K E D + K E D ⇒ 1 2 m v C 2 + m g R = 1 2 m v D 2 + m g 2 R ⇒ 1 2 m 7 g R 2 + m g R = 1 2 m v D 2 + 2 m g R ⇒ 7 g R + 2 g R = v D 2 + 4 g R ⇒ v D 2 = 5 g R ∴ v D = 5 g R b N + m g = m v D 2 R ⇒ N + m g = m 5 g R 2 R ⇒ N + m g = 5 m g ⇒ N = 4 m g c Energy conservation at point A and C K E A + P E A = K E C + P E C ⇒ 0 + m g H = 1 2 m v C 2 + m g R ⇒ m g H = 1 2 m 7 g R 2 + m g R ⇒ H = 7 2 R + R ∴ H = 9 2 R

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A particle of mass $m_{1}$ Is fastened to one end of a string and another one of mass $m_{2}$ to the middle point; the other end of the string being fastened to a fixed point on a smooth horizontal table. The particles are then projected, so that the two portions of the string are always in the same straight line and describe horizontal circles. Find the ratio of the tensions in the two parts of the string.

Important Questions on Circular Motion

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Beta Question Bank for Medical: Physics>Chapter 7 - Circular Motion>BEGINNER'S BOX - 2>Q 2

A road is

8 m

wide. Its average radius of curvature is

40 m .

The outer edge is above the lower edge by a distance of

1.28 m

. Find the velocity of vehicle for which the road is most suited?

(g = 10 m s^{- 2})

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Beta Question Bank for Medical: Physics>Chapter 7 - Circular Motion>BEGINNER'S BOX - 2>Q 3

A stone of mass

1 kg

tied to a light string of length

l

= 10 m

is whirling in a circular path in the vertical plane. If the ratio of the maximum to minimum tensions in the string is

3

, find the speeds of the stone at the lowest and highest points.

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Beta Question Bank for Medical: Physics>Chapter 7 - Circular Motion>BEGINNER'S BOX - 2>Q 4

Calculate the following for the situation shown:-

Question Image
(a) Speed at $D .$
(b) Normal reaction at $D R C$ .
(c) Height $H$

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Beta Question Bank for Medical: Physics>Chapter 7 - Circular Motion>BEGINNER'S BOX - 2>Q 5

A stone weighing

0.5 kg

tied to a rope of length

0.5 m

revolves along a circular path in a vertical plane. The tension of the rope at the bottom point of the circle is

45 N

. To what height will the stone rise if the rope breaks at the moment when the velocity is directed upwards?

(g = 10 m s^{- 2})

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IMPORTANT

Beta Question Bank for Medical: Physics>Chapter 7 - Circular Motion>Exercise (Conceptual Questions)>Q 1

A particle of mass

m

describes a circle of radius

r

. The centripetal acceleration of the particle is

\frac{4}{r^{2}}

. The momentum of the particle :

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Beta Question Bank for Medical: Physics>Chapter 7 - Circular Motion>Exercise (Conceptual Questions)>Q 2

A particle is moving around a circular path with uniform angular speed (

ω

). The radius of the circular
path is (

r

). The acceleration of the particle is :

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Beta Question Bank for Medical: Physics>Chapter 7 - Circular Motion>Exercise (Conceptual Questions)>Q 3

A car moves on a circular road, describing equal angles about the centre in equal intervals of times. Which of the statements about the velocity of car is true :

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Beta Question Bank for Medical: Physics>Chapter 7 - Circular Motion>Exercise (Conceptual Questions)>Q 4

An insect trapped in a circular groove of radius

12 cm

moves along the groove steadily and completes

7

revolutions in

100

seconds. The linear speed of the insect is _______

Important Questions on Circular Motion

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