Physics

Rolling Motion Quiz

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Match the following (multiple matches are possible) in the context of rolling motion:

Column I Column II
(A) Angular Momentum = $\displaystyle M{{{\vec{r}}}_{CM}}\times {{{\vec{v}}}_{CM}}+{{I}_{CM}}\overrightarrow{\omega }$
(B) Kinetic Energy = $\displaystyle \frac{1}{2}Mv_{CM}^{2}+\frac{1}{2}{{I}_{CM}}{{\omega }^{2}}$
(C) Kinetic Energy = $\displaystyle \frac{1}{2}{{I}_{\text{Point of Contact}}}{{\omega }^{2}}$
(D) vcm=Rω		 (p) Pure rolling
(q) Rolling
(r) Pure rotation about the point of contact

Solution

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Physics

Electric Field Quiz

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A point charge q is placed in front of a conducting solid cube of edge a at a distance d from its centre (d >a/2). What is the magnitude of electric field at the centre of the cube due to the charges appearing on its surface? $ \displaystyle \left( k=\frac{1}{4\pi {{\epsilon }_{0}}} \right)$

A) $\displaystyle \frac{kq}{{{d}^{2}}}$

B) $\displaystyle \frac{kq}{{{\left( \frac{a}{2} \right)}^{2}}}$

C) 0

D) $\displaystyle \frac{kq}{{{\left( d-\frac{a}{2} \right)}^{2}}}$

E) None of the options given

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