MOTION IN A PLANE Set 4

If then the angle between and is

The angular amplitude of a simple pendulum is . The maximum tension in its string will be

A body is projected up a smooth inclined plane with a velocity from the point as shown in figure. The angle of inclination is and top of the plane is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of ? Length of the inclined plane is , and

A sphere of mass is tied to end of a string of length and rotated through the other end along a horizontal circular path with speed The work done in full horizontal circle is

A bucket filled with water is tied to a rope of length 0.5 m and is rotated in a circular path in vertical pane. The least velocity it should have at the lowest point of circle so that water dose not spill is,

An object is projected at an angle of with the horizontal. The horizontal range and the maximum height reached will be in the ratio

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 , then the ratio of tensions in the three sections of the string is

The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is

A man can throw a stone to a maximum distance of 80 m. The maximum height to which it will rise in metre, is

A bob of mass M is suspended by a massless string of length L. The horizontal velocity at position A is just sufficient to make it reach the point B. The angle at which the speed of the bob is half of that at A, satisfies