A simple pendulum of length $l$ has maximum angular displacement $\displaystyle \theta .$ Then maximum kinetic energy of a bob of mass $m$ is

A mass of $M\ kg$ is suspended by a weightless string. The horizontal force that is required to displace it unitl the string makes an angle of ${45}^{o}$ with the initial vertical direction is

A pendulum hangs from the ceiling of a jeep moving with a speed, $v$, along a circle of radius, $R$. Find the angle with the vertical made by the pendulum.

একটি জিপ গাড়ির ছাদ থেকে একটি সরল দোলক ঝুলছে।জিপটি R ব্যাসার্ধের একটি বৃত্তাকার পথে vবেগে ঘুরছে।উলম্বের সাথে ববটির উৎপণ্ণ কোন বের কর।

A simple pendulum with bob of mass $m$ and length $x$ is held in position at an angle $1$ and then angle $2$ with the vertical. When released from these positions, speeds with which it passes the lowest positions are ${v}_{1}$ and ${v}_{2}$ respectively. Then, $\cfrac { { v }_{ 1 } }{ { v }_{ 2 } }$ is ;

A simple pendulum of length $L$ carries a bob of mass $m$. When the bob is at its lowest position, it is given the minimum horizontal speed necessary for it to move in a vertical circle about the point of suspension. When the string is horizontal the net force on the bob is: