Question

find the acceleration of a cylinder rolling down over a rough inclined plane without slippin​

Answer 1

We have,

mgsinθ−f=ma...........(1)

fR=

2

MR

2

.α.........(2)

a=αR...................(3)

From (2) & (3)

fR=

2

MR

2

×

R

α

⇒fR=

2

Ma

.........(4)

From (1) & (4)

mgsinθ−

2

ma

=ma

⇒mgsinθ=

2

3ma

a=

3

2gsinθ

f=

3

mgsinθ