Home
Class 12
PHYSICS
Find out the position vector of centre o...

Find out the position vector of centre of mass of the trapezium made out of uniform thin rods of same material.

A

`((sqrt2 + 11) hat(i) - (sqrt2 + 3) hat(j))/(sqrt2 + 4)`

B

`((sqrt2 + 3) hat(i) + (sqrt2 + 11) hat(j))/(sqrt2 + 4)`

C

`((sqrt2 + 11) hat(i) + (sqrt2 + 3) hat(j))/(sqrt2 + 4)`

D

`2 hat(i) + hat(j)`

Text Solution

Verified by Experts

The correct Answer is:
C

`r_(COM) = (lambda (2 sqrt2)[hat(i) + hat(j)] + lambda (2) [3 hat(i) + 2 hat(j)] + lambda (2) [4 hat(i) + hat(j)] + lambda (4) [2 hat(i)])/(lambda (2 sqrt2) + lambda (2) + lambda (2) + lambda (4))`
`= ((2 sqrt2 + 6 + 8 + 8) hat(i) + (2 sqrt2 + 4 + 2) hat(j))/(2 sqrt2 + 8)`
`= ((2 sqrt22 + 22) hat(i) + (2 sqrt2 + 6) hat(j))/(2 sqrt2 + 8)`
`= ((sqrt2 + 11) hat(i) + (sqrt2 + 3) hat(j))/(sqrt2 + 4)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find out the position of centre of mass of the figure shown below.

Find out the position of centre of mass of the uniform lamina as shown in figure.

Find the position of centre of mass of the uniform lamina shown in figure.

What is the position vector of centre of mass of two particles of equal masses ?

Find out the position of centre of mass of the uniform lamina as shown in figure.from center of cavity

Find the position of centre of mass of the uniform lamina shown in figure. If the mass density of the lamina is sigma .

the position vector of the centre of mass lt to r cm of an asymmetric uniform bar of negligible area of cross - section as shown in figure is :

Find the position of centre of mass of a uniform disc of radius R from which a hole of radius is cut out. The centre of the hole is at a distance R/2 from the centre of the disc.