A string is wound around a hollow cylinder of mass 5 kg and radius 0.5 m. If the string is now pulled with a horizontal force of 40 N, and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cylinder will be (Neglect the mass and thickness of the string) :-
a.
12 rad/s2
b.
16 rad/s2
c.
10 rad/s2
d.
20 rad/s2
a.
12 rad/s2
b.
16 rad/s2
c.
10 rad/s2
d.
20 rad/s2
Question ID - 50396 | SaraNextGen Top Answer A string is wound around a hollow cylinder of mass 5 kg and radius 0.5 m. If the string is now pulled with a horizontal force of 40 N, and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cylinder will be (Neglect the mass and thickness of the string) :-
a.
12 rad/s2
b.
16 rad/s2
c.
10 rad/s2
d.
20 rad/s2
A string is wound around a hollow cylinder of mass 5 kg and radius 0.5 m. If the string is now pulled with a horizontal force of 40 N, and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cylinder will be (Neglect the mass and thickness of the string) :-
|
a. |
12 rad/s2 |
b. |
16 rad/s2 |
|
c. |
10 rad/s2 |
d. |
20 rad/s2 |
40 + f = m(R
) … (i)
40 × R − f × R = mR2
40 − f = mR
… (ii)
From (i) and (ii)
= 16