Centrifugal Force

Two blocks of mass $m_1=10 \mathrm{kg}$ and $m_2=5 \mathrm{kg},$ connected to each other by a massless inextensible string of length $0.3 \mathrm{m}$ are placed along a diameter of a turn table. The coefficient of friction between the table and $m_1$ is $0.5$ while there is no friction between $m_2$ and the table. The table is rotating with an angular velocity of $10$ rad $s^{-1}$ about a vertical axis passing through its centre $O$. The masses are placed along the diameter of the table on either side of the centre $O$ such that the mass $m_1$ is at a distance of $0.124 \mathrm{m}$ from $O$. The masses are observed to be at rest with respect to an observer on the turn table. Calculate the frictional force on $m_1$.

Three particles, each of mass $m,$ are situated at the vertices of an equilateral triangle of side length $a$. The only forces acting on the particles are their mutual gravitational forces. It is desired that each particle moves in a circle while maintaining the original mutual separation $a$. Find the initial velocity that should be given to each particle and also the time period of the circular motion.

A pilot does not fall down when his aeroplane loops the loop. Why ?

The centrifugal force is a _____ force.

A small wooden block is placed on a circular rotating table at a distance of $10 \mathrm{cm}$ from the centre of the table. The table started rotating with increasing speed. Calculate the maximum speed of the table as observed from the table,so that the block does not move outward. The coefficient of friction is $0.2$.

Differentiate between the centripetal force and centrifugal force 

Determine the acceleration of a pseudo force in a non-inertial frame.

What is a pseudo force Calculate the magnitude of the pseudo force on a vertically circulating body at its highest and lowest point.

A body of mass $\mathrm{m}$ rotates with a uniform angular speed $\mathrm{\omega }$. It is observed from a frame rotating about the Z-axis with a uniform angular speed ${\omega }_0$ The centrifugal force on the particle is:

What is the difference between the centrifugal force and the centripetal force.

Explain why the centrifugal force is a pseudo force?

A motor cyclist in a circus , drives in a vertical loop inside a death well . What is the minimum speed required to complete the vertical circle , without falling down to complete the vertical circle , without falling down at the highest point , if the radius of the death well is 5 m?

Derive an expression for the safe speed of a rider in a death well

Which force is applied to the well of death?

What is well of death?

A particle starts circular motion with radius $\mathrm{R}$ about a fixed point with uniform angular acceleration $2 \mathrm{rad}/{\sec }^2$. If the time at which net
force on particle makes an angle $45°$ with direction of its velocity is $\frac{1}{\sqrt{\mathrm{n}}}\sec .$ Then value of $\mathrm{n}$ is :-

A string breaks if its tension exceeds $10 \mathrm{N}$. A stone of mass $250 \mathrm{g}$, tied to this string of length $10 \mathrm{cm}$, is rotated in a horizontal circle. The maximum angular velocity of rotation can be,