(a) How many revolutions per minute must the apparatus shown in figure make about a vertical axis so that the cord makes an angle of `45^(@)` with the vertical ?

(b)What is the tension in the cord then? Given, `l=sqrt(2)m,a=20 cm` and `m=5.0 kg`?

A bead of mass 2.5xx10^(-4) kg is suspended from a cord. A steady horizontal breeze pushes the bead so that the cord makes a constant angle of 40^(@) with the vertical. Find (a) the tension in the cord and (b) the push magnitude.

The wheel of a motorcycle is of 35cm. How many revolutions per minute must the wheel make so as to keep a speed of 66km //hr

A small body of maas 0.3 kg ascillates in vertical plane with the help of a string 0.5 m long with a constant speed of 2 m/s. It makes an angle of 60^(@) with the vertical. Calculate tension in the string (g=9.8m/s^(2)) .

What is the wlwctric field intensity at point at a distance 20 cm on line making an angle of 45^(@) with the axis of the dipole of moment 10C-m?

A string of length 1m is fixed at one end and carries a mass of 1 kg at the other end. The string makes 2//pi revolutions per second around a vertical axis passing through the fixed end. Calculate (i) angle of inclination of the string with the vertical, (ii) the tension in the strong and (iii) the linear velocity of the mass.

A small sphere B of mass m is released form rest in the position shown and swings freely in a vertical plane, first about O and then about the peg A after the cord comes in contact with the peg. Determime the tension in the cord (a) just before the sphere comes in contact with the peg. (b) just after it comes in contact with the peg.

A small sphere B of mass m is released form rest in the position shown and swings freely in a vertical plane, first about O and then about the peg A after the cord comes in contact with the peg. Determime the tension in the cord (a) just before the sphere comes in contact with the peg. (b) just after it comes in contact with the peg.

A 4kg block is attached to a vertical rod by means of two strings of equal length. When the system rotates about the axis of the rod, the strings are extended as shown in figure. (a) How many revolutions per minute must the system make in order for the tension in the upper string to be 200N ? (b) What is the tension in the lower string then ?

A 4kg block is attached to a vertical rod by means of two strings of equal length. When the system rotates about the axis of the rod, the strings are extended as shown in figure. (a) How many revolutions per minute must the system make in order for the tension in the upper string to be 200N ? (b) What is the tension in the lower string then ?

A 4kg block is attached to a vertical rod by means of two strings of equal length. When the system rotates about the axis of the rod, the strings are extended as shown in figure. (a) How many revolutions per minute must the system make in order for the tension in the upper string to be 200N ? (b) What is the tension in the lower string then ?