A solid sphere and a hollow cylinder roll up without slipping on same inclined plane with same initial speed v. The sphere and the cylinder reaches upto maximum heights h_1 and h_2, respectively, abo…

Question

A solid sphere and a hollow cylinder roll up without slipping on same inclined plane with same initial speed v. The sphere and the cylinder reaches upto maximum heights h_1 and h_2, respectively, above the initial level. The ratio h_1 :h_2 is n10. The value of n is_____

Accepted Answer

Correct answer: 7. (7) Gain inP .E .= Loss inK .E . mgh= 12 mv^2(1+ K^2R^2)h ∝1+ K^2R^2 h_1 h_2= 1+ 251+1= 75 2= 710 n=7

$A solid sphere and a hollow cylinder roll up without slipping on same inclined plane with same initial speed v . The sphere and the cylinder reaches upto maximum heights h_{1} and h_{2}, respectively, above the initial level. The ratio h_{1} : h_{2} is \frac{n}{10} . The value of n is_____$

Solution

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