Question
Define conservative and non-conservative forces and also describe their examples.
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Answer
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Prove the result that the velocity v of translation of a rolling body (like a ring, disc, cylinder or sphere) at the bottom of an inclined plane of height h given by
$\text{v}^2=\frac{2\text{gh}}{\big(1+\frac{\text{K}^2}{\text{R}^2}\big)}$
using dynamical consideration. Note K is the radius of gyration of the body about its symmetry axis, and R is the radius of the body. The body starts from rest at the top of the plane.
→$\text{v}^2=\frac{2\text{gh}}{\big(1+\frac{\text{K}^2}{\text{R}^2}\big)}$
using dynamical consideration. Note K is the radius of gyration of the body about its symmetry axis, and R is the radius of the body. The body starts from rest at the top of the plane.
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Consider the above Example taking the coefficient of friction, µ, to be 0.5 and calculate the maximum compression of the spring.
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