There is a rod of lenght $l$, mass $m$ lying on a fixed horizontal smooth table. A cord is led through a pulley, and its horizontal part is attached to one end of the rod, while its vertical part is attached to a block of mass $m_1$. Assume pulley and the cord is ideal. The maximum possible acceleration of the rod's centre of mass $C$ (for all possible values of masses $m$ and $m_1$) at the moment of releasing the block $m_1$ is $\frac{g}{n}$. Find the value of $n$
There is a rod of lenght $l$, mass $m$ lying on a fixed horizontal smooth table. A cord is led through a pulley, and its horizontal part is attached to one end of the rod, while its vertical part is attached to a block of mass $m_1$. Assume pulley and the cord is ideal. The maximum possible acceleration of the rod's centre of mass $C$ (for all possible values of masses $m$ and $m_1$) at the moment of releasing the block $m_1$ is $\frac{g}{n}$. Find the value of $n$
- A
$1$
- B
$2$
- C
$4$
- D
$5$
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Explain with illustration the pure translation and combination of translation and rotation motion of rigid body.
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A uniformly thick wheel with moment of inertia $I$ and radius $R$ is free to rotate about its centre of mass (see fig). A massless string is wrapped over its rim and two blocks of masses $\mathrm{m}_{1}$ and $\mathrm{m}_{2}\left(\mathrm{m}_{1}>\mathrm{m}_{2}\right)$ are attached to the ends of the string. The system is released from rest. The angular speed of the wheel when $\mathrm{m}_{1}$ descents by a distance $h$ is
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- [JEE MAIN 2020]
What do you mean by mass element $dm$ ?
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