A person with his hands in his pockets is skating on ice at the velocity of $10 \,m/s$ and describes a circle of radius $50\, m$. What is his inclination with vertical
${\tan ^{ - 1}}\left( {\frac{1}{10}} \right)$
${\tan ^{ - 1}}\left( {\frac{3}{5}} \right)$
${\tan ^{ - 1}}(1)$
${\tan ^{ - 1}}\left( {\frac{1}{5}} \right)$
Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is $v_0$, then the ratio of tensions in the three sections of the string is
Find the maximum velocity for skidding for a car moved on a circular track of radius $100\, m$. The coefficient of friction between the road and tyre is $0.2$ ....... $m/s$
Radius of the curved road on national highway is $R$. Width of the road is $b$. The outer edge of the road is raised by $h$ with respect to inner edge so that a car with velocity $v$ can pass safe over it. The value of $h$ is
A mass is supported on a frictionless horizontal surface. It is attached to a string and rotates about a fixed centre at an angular velocity ${\omega _0}$. If the length of the string and angular velocity are doubled, the tension in the string which was initially ${T_0}$ is now
A block of $200\, g$ mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of radius $20\, cm$. If the block takes $40\, s$ to complete one round, the normal force by the side walls of the groove is