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Question

Question: A small sphere is suspended by a string from the ceiling of a car. If the car begins to move with a ...

A small sphere is suspended by a string from the ceiling of a car. If the car begins to move with a constant acceleration a, tension generated in the string is:

A

mg

B

mg2a2m\sqrt{g^{2} - a^{2}}

C

mg2+a2m\sqrt{g^{2} + a^{2}}

D

mg2+2a2m\sqrt{g^{2} + 2a^{2}}

Answer

mg2+a2m\sqrt{g^{2} + a^{2}}

Explanation

Solution

T2 = m2(a02+g2)(a_{0}^{2} + g^{2}) or T=ma02+g2\begin{matrix} T = m\sqrt{a_{0}^{2} + g^{2}} \end{matrix}