Question 227: Laws of Motion

Question

Two stones of masses m and 2m are whirled in horizontal circles, the heavier one in a radius $${r \over 2}$$ and the lighter one in radius r. The tangential speed of lighter stone is n times that of the value of heavier stone when they exprience same centripetal forces. The value of n is

Accepted Answer

According to question, two stones
experience same centripetal force  i.e. F
C
1
= F
C
2
or $${{mv_1^2} \over r} = {{2mv_2^2} \over {\left( {r/2} \right)}} \Rightarrow V_1^2 = 4V_2^2$$
So, V
1
= 2V
2
i.e., n = 2

Answer

4

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1

Answer

2

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3

Laws of Motion

Two stones of masses m and 2m are whirled in horizontal circles, the heavier one in a radius ${r \over 2}$ and the lighter one in radius r. The tangential speed of lighter stone is n times that of the value of heavier stone when they exprience same centripetal forces. The value of n is

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