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In the situation given in figures (a) (b...




In the situation given in figures (a) (b) and (c ) the block of mass m does not slide relative to the accelerating frame. If `mu_S=` coefficient of static friction between the block and accelerating frame, in each case, find the range of accelerations.
Q. In case (a)

A

`alemu_Sg`

B

`age(g)/(mu_S)`

C

`ale(gm)/(mu_SM)`

D

`ale(gM)/(mu_Sm)`

Text Solution

Verified by Experts

The correct Answer is:
B

FBD: The forces acting on m are mg `darr`,`f_Suarr`,`Nrarr`
Force equation:
`sumF_x=N=ma_x=ma` .(i)
`sumF_y=f_s-mg=ma_y=0` .(ii)
Law of `f_S`:`f_slemu_sN` .(iii)
Substituting `f_S` from equation (ii) and N from equation (i) in equation (iii),
`mglemu_Smaimpliesage(g)/(mu_S)`
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