The surface mass density (mass per unit area) of a semi circular disc of radius {R} varies as \sigma=|\overrightarrow{a} \times \overrightarrow{r}|, where \overrightarrow{a} is a constant velocity along positive x axis and \overrightarrow{r} is positive vector with respect to origin. It is kept on smooth horizontal surface with flat surface in contact with surface. Now, force {F} ' is applied in such a way that it moves translationally without any rotation. The value of {h} is \frac{k \pi R}{16} then find value of {k}.

JEE Advanced 2020 Full Test 1 Paper 1

Question : 14 of 54

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The surface mass density (mass per unit area) of a semi circular disc of radius R varies as σ=|

→

|, where

→

is a constant velocity along positive x axis and

→

is positive vector with respect to origin. It is kept on smooth horizontal surface with flat surface in contact with surface. Now, force F ' is applied in such a way that it moves translationally without any rotation. The value of h is ‌

kπR

then find value of k.

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