A stone of mass 1 𝑘𝑔 tied to a light inextensible string of length 𝐿 =10 3 𝑚 is whirling in a circular path of radius 𝐿 in a vertical plane. If the ratio of the maximum tension in the string to the minimum tension in the string is 4 and if 𝑔 is taken to be 10𝑚/ sec2 , the speed of the stone at the highest point of the circle is

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Physics Problems

Question: A stone of mass 1 𝑘𝑔 tied to a light inextensible string of length 𝐿 =10 3 𝑚 is whirling in a circular path of radius 𝐿 in a vertical plane. If the ratio of the maximum tension in the string to the minimum tension in the string is 4 and if 𝑔 is taken to be 10𝑚/ sec2 , the speed of the stone at the highest point of the circle is

a) 20𝑚/𝑠𝑒𝑐

b) 10√3𝑚/𝑠𝑒𝑐

c) 5√2𝑚/𝑠𝑒𝑐

d) 10𝑚/𝑠𝑒c

Answer : option (D)

Solution :

A stone of mass 1 𝑘𝑔 tied to a light inextensible string of length 𝐿 =10 3 𝑚 is whirling in a circular path of radius 𝐿 in a vertical plane. If the ratio of the maximum tension in the string to the minimum tension in the string is 4 and if 𝑔 is taken to be 10𝑚/ sec2 , the speed of the stone at the highest point of the circle is
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