Motion in a Vertical Circle NEET Questions

Motion in a Vertical Circle

Motion in a Vertical Circle MCQ Questions

13.
A stone of mass m is tied to a string of length L and whirled in a vertical circle. The difference in tension at the lowest and highest points is:
A.
2mg
B.
4mg
C.
6mg
D.
mg
ANSWER :
C. 6mg
14.
For a vertical circular motion, the centripetal acceleration at the topmost point (minimum speed condition) is:
A.
g/2
B.
g
C.
2g
D.
5g
ANSWER :
B. g
15.
A ball on a string of length L is given speed vâ‚€ at the bottom. The ball reaches the top (height 2L) with speed vC. The correct energy equation is:
A.
½mv₀² = ½mvC²
B.
½mv₀² + 2mgL = ½mvC²
C.
½mv₀² = ½mvC² + 2mgL
D.
mv₀² = mvC² + 2gL
ANSWER :
C. ½mv₀² = ½mvC² + 2mgL
16.
Why does the tension in the string do no work on the bob during circular motion?
A.
Tension is always zero
B.
Tension is always perpendicular to the displacement (velocity) of the bob
C.
Tension equals gravity at all points
D.
The bob moves with constant speed
ANSWER :
B. Tension is always perpendicular to the displacement (velocity) of the bob
17.
For a vertical circular motion of a bob (string length L), the potential energy is measured from the lowest point A. At the highest point C, the PE is:
A.
mgL
B.
mg(2L)
C.
mg(L/2)
D.
0
ANSWER :
B. mg(2L)
18.
For a bob completing a vertical circle (string length L, minimum vâ‚€), the speed at a point at height h from the bottom is:
A.
√(5gL − 2gh)
B.
√(2gh)
C.
√(5gL + 2gh)
D.
√(gL − 2gh)
ANSWER :
A. √(5gL − 2gh)