Motion in a Plane Test

Result

Motion in a Plane Test - 33

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Weekly Quiz Competition

Question 1
4 / -1

A body of mass m hangs at one end of a string of length l, the other end of which is fixed. It is given a horizontal velocity so that the string would just reach, where it makes an angle of 60^o with the vertical. The tension in the string at mean position is

A
2 mg

B
mg

C
3 mg

D

Solution
Question 2
4 / -1

In a vertical circle of radius r at what point in its path a particle has tension equal to zero if it is just able to complete the vertical circle

A
Highest point

B
Lowest point

C
Any point

D
At a point horizontally from the centre of circle of radius r
Question 3
4 / -1

A body moving along a circular path of radius R with velocity v, has centripetal acceleration a,. If its velocity is made equal to 2v, then its centripetal acceleration is

A
4a

B
2a

C
a/4

D
a/2

Solution
Question 4
4 / -1

A pendulum bob on a 2 m string is displaced 60^o from the vertical and then released. What is the speed of the bob as it passes through the lowest point in its path?

A

B

C

D

Solution
Question 5
4 / -1

A fan is making 600 revolutions per minute. If after some time it makes 1200 revolutions per minute, then increase in its angular velocity is

A
10 π rad/sec

B
20 π rad/sec

C
40 π rad/sec

D
60 π rad/sec

Solution
Question 6
4 / -1

A particle is tied to 20 cm long string. It performs circular motion in vertical plane. What is the angular velocity of string when the tension in the string at the top is zero?

A
5 rad/sec

B
2 rad/sec

C
7.5 rad/sec

D
7 rad/sec

Solution
Question 7
4 / -1

A stone tied with a string is rotated in a vertical circle. The minimum speed with which the string has to be rotated

A
Is independent of the mass of the stone

B
Is independent of the length of the string

C
Decreases with increasing mass of the stone

D
Decreases with increasing in length of the string
Question 8
4 / -1

A fighter plane is moving in a vertical circle of radius \'r\'. Its minimum velocity at the highest point of the circle will be

A

B

C

D
Question 9
4 / -1

A stone of mass m is tied to a string and is moved in a vertical circle of radius r making n revolutions per minute. The total tension in the string when the stone is at its lowest point is

A

B

C

D

Solution
Question 10
4 / -1

As per given figure to complete the circular loop what should be the radius if initial height is 5 m

A
4 m

B
3 m

C
2.5 m

D
2 m

Solution