JEE Main Circular Motion Practice Questions With Solutions

A clock has $75\mathrm{cm},60\mathrm{cm}$75 \textrm{ } cm , 60 \textrm{ } cm long second hand and minute hand respectively. In 30 minutes duration the tip of second hand will travel $x$x distance more than the tip of minute hand. The value of $x$x in meter is nearly (Take $\pi =3.14$\pi = 3.14) :

A car of $800\mathrm{kg}$800 \textrm{ } kg is taking turn on a banked road of radius $300\mathrm{m}$300 \textrm{ } m and angle of banking ${30}^{\circ }$30^{\circ}. If coefficient of static friction is 0.2 then the maximum speed with which car can negotiate the turn safely: $(\mathrm{g}=10\mathrm{m}/{\mathrm{s}}^2,\sqrt{3}=1.73)$\left(\right. g = 10 \textrm{ } m / s^{2} , \sqrt{3} = 1.73 \left.\right)

A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius $9\mathrm{m}$9 \textrm{ } m and completes 120 resolutions in 3 minutes. The magnitude of centripetal acceleration of monkey is (in $\mathrm{m}/{\mathrm{s}}^2$m / s^{2} ) :

A cyclist starts from the point $P$P of a circular ground of radius $2\mathrm{km}$2 \textrm{ } km and travels along its circumference to the point $\mathrm{S}$S. The displacement of a cyclist is:

A coin is placed on a disc. The coefficient of friction between the coin and the disc is $\mu$\mu. If the distance of the coin from the center of the disc is $r$r, the maximum angular velocity which can be given to the disc, so that the coin does not slip away, is :

A stone of mass $900\mathrm{g}$900 \textrm{ } g is tied to a string and moved in a vertical circle of radius $1\mathrm{m}$1 \textrm{ } m making $10\mathrm{rpm}$10 \textrm{ } rpm. The tension in the string, when the stone is at the lowest point is (if ${\pi }^2=9.8$\pi^{2} = 9.8 and $g=9.8\mathrm{m}/{\mathrm{s}}^2$g = 9.8 \textrm{ } m / s^{2}) :

If the radius of curvature of the path of two particles of same mass are in the ratio $3:4$3 : 4, then in order to have constant centripetal force, their velocities will be in the ratio of :

A train is moving with a speed of $12\mathrm{m}/\mathrm{s}$12 \textrm{ } m / s on rails which are $1.5\mathrm{m}$1.5 \textrm{ } m apart. To negotiate a curve radius $400\mathrm{m}$400 \textrm{ } m, the height by which the outer rail should be raised with respect to the inner rail is (Given, $g=10\mathrm{m}/{\mathrm{s}}^2)$g = 10 \textrm{ } m / s^{2} \left.\right) :