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A ball tied to the end of the string swi...

A ball tied to the end of the string swings in a vertical circle under the influence of gravity.

A

When the string makes an angle `90^(@)` with the vertical, the tangential acceleration is zero and radial acceleration is somewhere between minimum and maximum

B

When the string makes an angle `90^(@)` with the vertical, the tangential acceleration is maximum and radial acceleration is somewhere between maximum and minimum

C

At no place in circular motion, tangential acceleration is equal to radial acceleration

D

When radial acceleration has its maximum value, the tangential acceleration is zero

Text Solution

Verified by Experts

The correct Answer is:
B, D
Radial acceleration is given by,

`a_(r)=(v^(2))/(R)`
At `A` , speed is maximum.
Therefore, `a_(r)` is maximum.
At `C` , speed is maximum .
Therefore, `a_(r)` is maximum.
Tangential acceleration is `gsintheta` .
At point `B,theta=90^(@)` .
Therefore, tangential acceleration is maximum `(=g)` .
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Knowledge Check

  • A stone of mass m, tied to the end of a string, is. whirled around in a horizontal circle (neglect gravity). The length of the string is reduced gradually such that mvr = constant. Then, the tension in the string is given · by T = Ar '', where A is a constant and r is the instantaneous radius of the circle. Then, n is equal to:

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