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Circular Motion NAT Level - 1


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10 Questions MCQ Test Topic wise Tests for IIT JAM Physics | Circular Motion NAT Level - 1

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*Answer can only contain numeric values
Circular Motion NAT Level - 1 - Question 1

A particle moves along a circle of radius (20/π)m with tangential acceleration of constant magnitude. If the speed of the particle is 80 m/s at the end of the second revolution after motion has begun. What will be the tangential acceleration in ms–2?


Detailed Solution for Circular Motion NAT Level - 1 - Question 1


n = 2 revolution
v = 80 m/s

from 3rd equation of motion

= 40 m/s2
The correct answer is: 40

*Answer can only contain numeric values
Circular Motion NAT Level - 1 - Question 2

In the motorcycle stunt called ‘the well of death’ the track is a vertical cylindrical surface of 18 m radius. Take the motorcycle to be a point mass and µ = 0.8. The minimum angular speed (rad/sec) of the motorcycle to prevent him from sliding down should be :


Detailed Solution for Circular Motion NAT Level - 1 - Question 2

From (1) and (2)

*Answer can only contain numeric values
Circular Motion NAT Level - 1 - Question 3

In the figure shown a lift goes downwards with a constant retardation. An observer in the lift observes a conical pendulum in the lift, revolving in a horizontal circle with time period 2 seconds. The distance between the centre of the circle and the point of suspension is 2.0 m. The retardation of the lift in m/s2 is :


Detailed Solution for Circular Motion NAT Level - 1 - Question 3


geff = g + a
Put T = 2
⇒ a = 10 m/s2
The correct answer is: 10

*Answer can only contain numeric values
Circular Motion NAT Level - 1 - Question 4

A circular curve of a highway is designed for traffic moving at 72 km/h. If the radius of the curved path is 100 m, the correct angle (in degree) of banking of the road should be given by :


Detailed Solution for Circular Motion NAT Level - 1 - Question 4

The correct answer is: 21.801

*Answer can only contain numeric values
Circular Motion NAT Level - 1 - Question 5

For a body in circular motion with a constant angular velocity, the magnitude of the average acceleration over a period of a half a revolution is how many times the magnitude of its instantaneous acceleration?


Detailed Solution for Circular Motion NAT Level - 1 - Question 5

Instantaneous acceleration = ω2R

The correct answer is: 0.637

*Answer can only contain numeric values
Circular Motion NAT Level - 1 - Question 6

A spot light S rotates in a horizontal plane with a constant angular velocity of 0.1 rad/s.  The spot of light P moves along the wall at a distance 3m.  What is the velocity in ms–1 of the spot  P when  θ = 45°?


Detailed Solution for Circular Motion NAT Level - 1 - Question 6

The correct answer is: 0.6

*Answer can only contain numeric values
Circular Motion NAT Level - 1 - Question 7

A point P moves in counter clockwise direction on a circular path as shown in the figure. The movement of 'P'  is such that it sweeps out a length  s = t3 + 5, where  s is in metres and t  is in seconds. The radius of the path is 20 m. The acceleration in  ms–2 of 'P' when  t = 2s is nearly.


Detailed Solution for Circular Motion NAT Level - 1 - Question 7

S = t3 + 5
Linear speed of the particle

Linear acceleration 
at  t = 2s,     a1 = 12 m/s2

The centripetal acceleration 

The correct answer is: 14

*Answer can only contain numeric values
Circular Motion NAT Level - 1 - Question 8

A stone is projected from level ground at  t = 0 sec such that its horizontal and vertical components of initial velocity are 10 m/s and 20 m/s respectively. Then the instant of time (in seconds) at which tangential and normal components are acceleration of stone are same is : (neglected air resistance) g = 10m/s2


Detailed Solution for Circular Motion NAT Level - 1 - Question 8

Tangential acceleration

Normal acceleration 

During upward motion

⇒  vy = vz
uy – gt = ux
20 – 10t = 10
 t = 1 sec
During downward motion
at = an
vy – vx
20 – 10t = – 10
⇒ t = 3 sec

The correct answer is: 3

*Answer can only contain numeric values
Circular Motion NAT Level - 1 - Question 9

A ball suspended by a thread swings in a vertical plane so that its acceleration magnitudes in the extreme and lowest positions are equal. The thread deflection angle (in degree) in the extreme position is?


Detailed Solution for Circular Motion NAT Level - 1 - Question 9

Acceleration at lowest position

From energy conservation

acceleration at highest position


according to problem aL = aH

The correct answer is: 53

*Answer can only contain numeric values
Circular Motion NAT Level - 1 - Question 10

A bird is flying in air. To take a  turn  in the  horizontal  plane of radius R = 10m with  the velocity v = 10m/s at what angle (in degree) it should bend with the horizontal.


Detailed Solution for Circular Motion NAT Level - 1 - Question 10

The correct answer is: 45

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