Home
Class 11
PHYSICS
A rod of length 2 m and mass 0.5 kg is f...

A rod of length 2 m and mass 0.5 kg is fixed at one end and allowed to hang vertically from a rigid support. Find the work done in raising the other end of the rod unit it makes an angle of `60^(@)` with the vertical. `(g = 10 ms^(-2))`

Text Solution

Verified by Experts

`m=0.5 kg, l=2 m, theta = 60^(@)`
Work done `W=mg.(l)/(2)(1-cos theta)`
`= 0.5xx10xx(2)/(2)(1-cos 60^(@))-5xx(1-(1)/(2))=5xx(1)/(2)=2.5 J`
Promotional Banner

Similar Questions

Explore conceptually related problems

A rod of length 1.0 m and mass 0.5 kg fixed at ond is initially hanging vertical. The other end is now raised until it makes an angle 60^@ with the vertical. How much work is required?

A uniform rod of length L and mass M is pivoted freely at one end and placed in vertical position. a. What is angular acceleration of the rod when it is at ann angle theta with the vertical? b. What is the tangential linear acceleration of the free end when the rod is horizontal?

A uniform rope of length 10 cm and mass 4 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced at the lower end of the rope, what is the wavelength of the pulse when it reaches the top of the rope?

A uniform rope of length 12 mm and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced at the lower end of the rope. What is the wavelength of the pulse when it reaches the top of the rope?

A uniform rope of length 12 mm and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced at the lower end of the rope. What is the wavelength of the pulse when it reaches the top of the rope?

A uniform rope of length 12 mm and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced at the lower end of the rope. What is the wavelength of the pulse when it reaches the top of the rope?

A metal wire of length L is suspended vertically from a rigid support. When a bob of mass M is attached to the lower end of wire, the elongation of the wire is l:

A thin rod of length L and mass M is held vertically with one end on the floor and is allowed to fall. Find the velocity of the other end when it hits the floor, assuming that the end on the floor does not slip?

A uniform rope of length 12 m and mass 4 kg is hung vertically from a rigid support transverse wave pulse is produced at lower end. The speed of the wave pulse al x = 2.5 m from lower and will be kg=10 m/s)

A chain of length 'L' and mass 'M' is hanging by fixing its upper end to a rigid support. The tension in the chain at a distance 'x' from the rigid support is