Question

a disc is kept on a smooth horizontal plane ... and surface of the groove is 2/5 and sin theta=3/5. find the acceleration of mass with respect to frame of the reference of the disc

Answer 1

Answer:

The acceleration of mass with respect to frame of the reference of the disc is 10 m/s^2

Explanation:

The whole explanation is based on the figure attached with the answer.

According to the diagram we can see that there are two frictional forces acting , one from bottom and the another one from the side walls.

Now we can say,

Mg = N and ma0 sinθ=  N' and ma0 cosθ -μ (N+ N') = ma

where a is the acceleration we have taken

Now putting the values:

ma0 cosθ -μ (mg  +  ma0 sinθ ) = ma

=> a = a0 cosθ - μ (g  +  a0 sinθ )

Now putting the values again,

=> a =  25 x 4/5 - 2/5(10 + 25 x 3/5)

=> a = 10 m/s^2