Question

A solid cylinder of mass 2 kg and radius 50 cm rolls up an inclined plane of angle inclination 30°. The centre of mass of cylinder has speed of 4 m/s. The distance travelled by the cylinder on the incline surface will be :
(Take g = 10 m/s\(^2\))

• A. 2.2 m
• B. 1.6 m
• C. 1.2 m
• D. 2.4 m

Answer 1

The Correct Option is D

\(\frac{1}{2} mv^2 ( 1 + \frac{K^2}{R^2}) = mgh\)
\(\Rightarrow 8 ( 1 + \frac{1}{2}) = 10\,h\)
\(h = 1.2\,m\)
\(\frac{h}{l} = sin\,30^{\circ}\)
\(l = 2.4 \,m\)

So, the correct option is (D): 2.4 m