269476
A cylinder is released from rest from the top of an incline of inclination\(\theta\) and length ' \('\) '. If the cylinder roles without slipping, its speed at the bottom
1 \(\sqrt{\frac{4 g l \sin \theta}{3}}\)
2 \(\sqrt{\frac{3 g l \sin \theta}{2}}\)
3 \(\sqrt{\frac{4 g l}{3 \sin \theta}}\)
4 \(\sqrt{\frac{4 g \sin \theta}{3 l}}\)
Explanation:
\(v=\sqrt{\frac{2 g l \sin \theta}{1+\frac{k^{2}}{R^{2}}}}\)
Rotational Motion
269477
For a body rolling along a level surface, without slipping the translational and rotational kinetic energies are in the ratio 2:1.The body is
1 Hollow sphere
2 solid cylinder
3 Ring
4 Solid sphere
Explanation:
\(\frac{\frac{1}{2} m V^{2}}{\frac{1}{2} I \omega^{2}}=\frac{2}{1}\)
Rotational Motion
269478
A solid sphere and a spherical shell roll down an incline from rest from same height. The ratio of times taken by them is
269476
A cylinder is released from rest from the top of an incline of inclination\(\theta\) and length ' \('\) '. If the cylinder roles without slipping, its speed at the bottom
1 \(\sqrt{\frac{4 g l \sin \theta}{3}}\)
2 \(\sqrt{\frac{3 g l \sin \theta}{2}}\)
3 \(\sqrt{\frac{4 g l}{3 \sin \theta}}\)
4 \(\sqrt{\frac{4 g \sin \theta}{3 l}}\)
Explanation:
\(v=\sqrt{\frac{2 g l \sin \theta}{1+\frac{k^{2}}{R^{2}}}}\)
Rotational Motion
269477
For a body rolling along a level surface, without slipping the translational and rotational kinetic energies are in the ratio 2:1.The body is
1 Hollow sphere
2 solid cylinder
3 Ring
4 Solid sphere
Explanation:
\(\frac{\frac{1}{2} m V^{2}}{\frac{1}{2} I \omega^{2}}=\frac{2}{1}\)
Rotational Motion
269478
A solid sphere and a spherical shell roll down an incline from rest from same height. The ratio of times taken by them is
269476
A cylinder is released from rest from the top of an incline of inclination\(\theta\) and length ' \('\) '. If the cylinder roles without slipping, its speed at the bottom
1 \(\sqrt{\frac{4 g l \sin \theta}{3}}\)
2 \(\sqrt{\frac{3 g l \sin \theta}{2}}\)
3 \(\sqrt{\frac{4 g l}{3 \sin \theta}}\)
4 \(\sqrt{\frac{4 g \sin \theta}{3 l}}\)
Explanation:
\(v=\sqrt{\frac{2 g l \sin \theta}{1+\frac{k^{2}}{R^{2}}}}\)
Rotational Motion
269477
For a body rolling along a level surface, without slipping the translational and rotational kinetic energies are in the ratio 2:1.The body is
1 Hollow sphere
2 solid cylinder
3 Ring
4 Solid sphere
Explanation:
\(\frac{\frac{1}{2} m V^{2}}{\frac{1}{2} I \omega^{2}}=\frac{2}{1}\)
Rotational Motion
269478
A solid sphere and a spherical shell roll down an incline from rest from same height. The ratio of times taken by them is
NEET Test Series from KOTA - 10 Papers In MS WORD
WhatsApp Here
Rotational Motion
269476
A cylinder is released from rest from the top of an incline of inclination\(\theta\) and length ' \('\) '. If the cylinder roles without slipping, its speed at the bottom
1 \(\sqrt{\frac{4 g l \sin \theta}{3}}\)
2 \(\sqrt{\frac{3 g l \sin \theta}{2}}\)
3 \(\sqrt{\frac{4 g l}{3 \sin \theta}}\)
4 \(\sqrt{\frac{4 g \sin \theta}{3 l}}\)
Explanation:
\(v=\sqrt{\frac{2 g l \sin \theta}{1+\frac{k^{2}}{R^{2}}}}\)
Rotational Motion
269477
For a body rolling along a level surface, without slipping the translational and rotational kinetic energies are in the ratio 2:1.The body is
1 Hollow sphere
2 solid cylinder
3 Ring
4 Solid sphere
Explanation:
\(\frac{\frac{1}{2} m V^{2}}{\frac{1}{2} I \omega^{2}}=\frac{2}{1}\)
Rotational Motion
269478
A solid sphere and a spherical shell roll down an incline from rest from same height. The ratio of times taken by them is
