A point mass m is attached at the end of a massless rod of length L- Other end of rod is hinged to frictionless hinge- Sudden velocity V-9gL2 is provided to the point mass as shown in figure- So hinge reaction when this rod rotates by 1800 is

By nbsp;conservation nbsp;of nbsp;energy⇒12mvo2=12mv2+2mgL⇒v=gL2Now, nbsp;mg N=mv2L⇒N=mg2 nbsp; ...

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Standard XI

Physics

Work-Energy Theorem

A point mass ...

Question

A point mass m is attached at the end of a massless rod of length L. Other end of rod is hinged to frictionless hinge. Sudden velocity $V = \sqrt{\frac{9 g L}{2}}$ is provided to the point mass as shown in figure. So hinge reaction when this rod rotates by $180^{0}$ is

\frac{\sqrt{3}}{2} m g

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m g

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\sqrt{2} m g

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\frac{m g}{2}

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Solution

The correct option is D $\frac{m g}{2}$

$B y c o n s e r v a t i o n o f e n e r g y \Rightarrow \frac{1}{2} m v_{o}^{2} = \frac{1}{2} m v^{2} + 2 m g L \Rightarrow v = \sqrt{\frac{g L}{2}} N o w, m g - N = \frac{m v^{2}}{L} \Rightarrow N = \frac{m g}{2}$

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Similar questions

Q. A point mass m is attached at the end of a massless rod of length L. Other end of rod is hinged to frictionless hinge. Sudden velocity

V = \sqrt{\frac{9 g L}{2}}

is provided to the point mass as shown in figure. So hinge reaction when this rod rotates by

180^{0}

Q. A rod

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and length

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is hinged at one end & other end is connected to a light vertical spring of spring constant

k

as shown in figure. The spring has extension such that rod is in equilibrium when it is horizontal. The rod can rotate about horizontal axis passing through end

B

. Neglecting friction at the hinge find force on the rod due to hinge.

Q. A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular acceleration of the rod is

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A point mass m is attached at the end of a massless rod of length L. Other end of rod is hinged to frictionless hinge. Sudden velocity V=√9gL2 is provided to the point mass as shown in figure. So hinge reaction when this rod rotates by 1800 is

The correct option is D mg2 By conservation of energy⇒12mv2o=12mv2+2mgL⇒v=√gL2Now, mg−N=mv2L⇒N=mg2

A point mass m is attached at the end of a massless rod of length L. Other end of rod is hinged to frictionless hinge. Sudden velocity $V = \sqrt{\frac{9 g L}{2}}$ is provided to the point mass as shown in figure. So hinge reaction when this rod rotates by $180^{0}$ is

The correct option is D $\frac{m g}{2}$

$B y c o n s e r v a t i o n o f e n e r g y \Rightarrow \frac{1}{2} m v_{o}^{2} = \frac{1}{2} m v^{2} + 2 m g L \Rightarrow v = \sqrt{\frac{g L}{2}} N o w, m g - N = \frac{m v^{2}}{L} \Rightarrow N = \frac{m g}{2}$