Home
Class 11
PHYSICS
Two smooth sphere each of radius 5cm and...

Two smooth sphere each of radius 5cm and weight `W` rest one on the other inside a fixed smooth cylinder of radius 8cm. The reaction between the sphere and the vertical side of the cylinder are:

A

`W//4 & 3W//4`

B

`W//4 & W//4`

C

`3W//4 & 3W//4`

D

`W &W`

Text Solution

Verified by Experts

The correct Answer is:
C

`r=5cm,R=8cm`
`FBD` of sphere 1

`N_(1)=W+N_(3)sintheta`
`N_(2)=N_(3)cos theta`
`FBD` of sphere 2

`AC=2R-2r`
`AB=2r`
`cos theta=(AC)/(AB)=(R-r)/(r)`
`N_(4)=N_(3)cos theta`
`W=N_(3)sin theta`
Ans. `N_(4)=W cot theta `
`N_(2)=w cosec theta`
`N_(1)=2W`
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp23|8 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 24|6 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 21|8 Videos

  • CURRENT ELECTRICITY

    RESONANCE|Exercise Exercise|54 Videos

  • ELASTICITY AND VISCOCITY

    RESONANCE|Exercise Advanced Level Problems|9 Videos

Similar Questions

Explore conceptually related problems

The metallic sphere of radius 6 cm is melted and recast into the sphere of a cylinder of radius 10cm . The height of the cylinder is :

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

A metallic sphere of radius 4.2cm is melted and recast into the shape of a cylinder of radius 6cm. Find the height of the cylinder.

A metallic sphere of radius 4.2cm is melted and recast into the shape of a cylinder of radius 6cm. Find the height of the cylinder.

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

Three identical smooth cylinders, each of mass m and radius r are resting in equilibrium within a fixed smooth cylinder of radius R (only a part of this cylinder has been shown in the fig). Find the largest value of R in terms of r for the small cylinders to remain in equilibrium.

A sphere of radius 2 cm is put into water contained in a cyclinder of base-radius 4 cm. If the sphere is completely immersed in the water, the water level in the cylinder rises by

A metallic sphere of radius 5.6 cm is melted and recast into a shape of cylinder of radius 6cm. Find the height of the cylinder.