In a conical pendulum, the bob is rotated with different angular velocities and tension in the string is calculated for different values of $\omega$ . Which of them is correct graph between $T$ & $\omega .$
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B
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Medium
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A body starts from rest on a long inclined plane of slope $45^o$ . The coefficient of friction between the body and the plane varies as $\mu = 0.3\,x$ . where $x$ is distance travelled down the plane. The body will have maximum speed ( for $g = 10\,m/s^2$ ) when $x=$ ........ $m$
A box when dropped from a certain height reaches the ground with a speed $v$. When it slides from rest from the same height down a rough inclined plane inclined at angle $45^{\circ}$ to the horizontal, it reaches the ground with a speed $v / 3$. The coefficient of sliding friction between the box and the plane is (Take, acceleration due to gravity is $10 \,ms ^{-2}$ )
As shown in the figure, two strings of length $l$ each are attached with a vertical axis $AB$ of length $l$. Strings are $AC$ and $BC$. At point $C$ a point mass m is attached. Mass rotates about axis with angular velocity. Tensions in $AB$ and $BC$ are $T_1$ and $T_2$ respectively. Choose the $CORRECT$ alternative :-
$Assertion$ : Angle of repose is equal to the angle of limiting friction.
$Reason$ : When the body is just at the point of motion, the force of friction in this stage is called limiting friction.