Solve this: Q 3 A mass m supported by a massless string wound around a uniform hollow cylinder of - Physics - Rest and Motion Kinematics

Question

Solve this:
Q 3 A mass m supported by a massless string wound around a uniform
hollow cylinder of mass m and radius R If the string does not slip
on the cylinder, with what acceleration will the mass fall on
release?

(a) 2 g 3
(b) g 2
(c) 5 g 6
(d) g

Decoder_2 · Accepted Answer

Dear
student,
According to question the moment of inertia is I =
mR2 
(for hollow cylinder)
a= α R     
1>     (for no slipping condition)a =mg -Tm       
2>   (for linear motion)α = RTI =RTmR2             (for rotational motion)aR =RTmR2 T = ma    
3>now put value of T in eq 2a =mg - mam =g-a2a =ga = g/2  m/s2
Regards

Solve this: Q.3. A mass m supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release? (a) 2 g 3 (b) g 2 (c) 5 g 6 (d) g

Solve this:
Q.3. A mass m supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?

(a) $\frac{2 g}{3}$
(b) $\frac{g}{2}$
(c) $\frac{5 g}{6}$
(d) g