Motion in a Vertical Circle NEET Questions

Motion in a Vertical Circle MCQ Questions

1.
A bob of mass m is suspended by a string of length L and given a horizontal velocity v₀ at the lowest point A to complete a vertical circle. The minimum value of v₀ is:
A.
√(gL)
B.
√(2gL)
C.
√(3gL)
D.
√(5gL)
ANSWER :
D. √(5gL)
2.
For a bob completing a vertical circle (string length L), the speed at the topmost point C (with minimum launch speed) is:
A.
√(5gL)
B.
√(3gL)
C.
√(2gL)
D.
√(gL)
ANSWER :
D. √(gL)
3.
For a bob completing a vertical circle (string length L), the speed vB at point B (the midpoint, at height L from bottom) is:
A.
√(5gL)
B.
√(3gL)
C.
√(gL)
D.
√(2gL)
ANSWER :
B. √(3gL)
4.
The ratio of kinetic energies KB/KC at points B (height L) and C (top, height 2L) for minimum launch speed in a vertical circle is:
A.
1:3
B.
5:1
C.
3:1
D.
2:1
ANSWER :
C. 3:1
5.
At the topmost point C of a vertical circle (minimum launch), the string becomes slack. After this, if the string is not cut, the bob will:
A.
Fall straight down
B.
Continue circular motion and complete the revolution
C.
Execute projectile motion with horizontal projection
D.
Come to rest
ANSWER :
B. Continue circular motion and complete the revolution
6.
If the connecting string is cut at the topmost point C of a vertical circle (velocity is horizontal), the bob will:
A.
Fall vertically downward
B.
Move upward
C.
Execute projectile motion akin to a rock kicked horizontally from a cliff
D.
Come to rest at C
ANSWER :
C. Execute projectile motion akin to a rock kicked horizontally from a cliff