A solid cylinder is released from rest from the top of an inclined plane of inclination 30° and length 60 cm. If the cylinder rolls without slipping, its speed upon reaching the bottom of the inclined plane is ms -1. (Given g =10 ms -2 )

Question

A solid cylinder is released from rest from the top of an inclined plane of inclination 30° and length 60 cm. If the cylinder rolls without slipping, its speed upon reaching the bottom of the inclined plane is ms -1. (Given g =10 ms -2 ) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

v=√(2 g h/1+(k2)R2) Where h=60 sin 30°=30 cm k2=(R2/2) v=2 ms -1

Q. A solid cylinder is released from rest from the top of an inclined plane of inclination $3 0^{\circ}$ and length $60 c m$ . If the cylinder rolls without slipping, its speed upon reaching the bottom of the inclined plane is ________ $m s^{- 1}$ . (Given $g = 10 m s^{- 2}$ )

$v = \frac{2 g h}{1 + \frac{k ^{2}}{R ^{2}}}$
Where $h = 60 sin 3 0^{\circ} = 30 c m$
$k^{2} = \frac{R ^{2}}{2}$
$v = 2 m s^{- 1}$

Q. A solid cylinder is released from rest from the top of an inclined plane of inclination 30∘ and length 60cm. If the cylinder rolls without slipping, its speed upon reaching the bottom of the inclined plane is ________ ms−1. (Given g=10ms−2 )

v=1+R2k2​2gh​​ Where h=60sin30∘=30cm k2=2R2​ v=2ms−1

Q. A solid cylinder is released from rest from the top of an inclined plane of inclination $3 0^{\circ}$ and length $60 c m$ . If the cylinder rolls without slipping, its speed upon reaching the bottom of the inclined plane is ________ $m s^{- 1}$ . (Given $g = 10 m s^{- 2}$ )

$v = \frac{2 g h}{1 + \frac{k ^{2}}{R ^{2}}}$
Where $h = 60 sin 3 0^{\circ} = 30 c m$
$k^{2} = \frac{R ^{2}}{2}$
$v = 2 m s^{- 1}$