A rigid body of mass M and radius R rolls without slipping on an inclined plane of inclination θ, under gravity. Match the type of body with magnitude of the force of friction.
Column IColumn II(a)For ring(p)Mg sin θ2.5(b)For solid sphere(q)Mg sin θ3(c)For solid cylinder(r)Mg sin θ3.5(d)For hollow spherical shell(s)Mg sin θ2
A – S; B – R; C – Q; D – P
f=Mg sin θ(1+mr2I)
For ring l=mr2
f=Mg sin θ2
for hollow sphere l=23mr2
f=mg sin θ52=mg sin θ3
For solid cylinder, f=mg sin θ3
For solid sphere, f=mg sin θ3.5