A motor cycle driver doubles its velocity when he is having a turn. The force exerted outwardly will be

A body is revolving with a constant speed along a circle. If its direction of motion is reversed but the speed remains the same, then which of the following statement is true

The maximum speed that can be achieved without skidding by a car on a circular unbanked road of radius $R$ and coefficient of static friction $\mu $, is

A curved in a level road has a radius $75\, m$. The maximum speed of a car turning this curved road can be $30 \,m / s$ without skidding. If radius of curved road is changed to $48\, m$ and the coefficient of friction between the tyres and the road remains same, then maximum allowed speed would be .........$m / s$.

A thin circular loop of radius $R$ rotates about its vertical diameter with an angular frequency $\omega .$ Show that a small bead on the wire loop remains at its lowermost point for $\omega \leq \sqrt{g / R} .$ What is the angle made by the radius vector jotning the centre to the bead with the vertical downward direction for $\omega=\sqrt{2 g / R} ?$ Neglect friction.

A disc with a flat small bottom beaker placed on it at a distance $R$ from its center is revolving about an axis passing through the center and perpendicular to its plane with an angular velocity $\omega$. The coefficient of static friction between the bottom of the beaker and the surface of the disc is $\mu$. The beaker will revolve with the disc if