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

E M B I B E

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

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IMPORTANT

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

Important Questions on Circular Motion

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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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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