Rotational Motion Question 218

Question: A toy car rolls down the inclined plane as shown in the fig. It loops at the bottom. What is the relation between H and h?

Options:

A) $\frac{H}{h}=2$

B) $\frac{H}{h}=3$

C) $\frac{H}{h}=4$

D) $\frac{H}{h}=5$

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Answer:

Correct Answer: D

Solution:

[d] Velocity at the bottom and top of the circle is $\sqrt{5gr}$ and $\sqrt{gr}$.

Therefore $(1/2)M(5gr)=MgH$

And

$\text{(1}/2\text{)}M(gr)=MgH$.



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