Laws of Motion ...

A $$500 g$$ particle tied to one end of a string is whirled in a vertical circle of circumference $$14 m$$.If the tension at the highest point of its path is $$2 N$$, what is its speed? (in m/s)

Three charged particles are collinear and are in equilibrium, then

A car moves at a speed of $$20\ ms^{-1}$$ on a banked track and describes an arc of a circle of radius $$40\sqrt {3}$$. The angle of banking is (take, $$g = 10ms^{-2})$$.

A $$200 g$$ mass is whirled in a vertical circle making $$60$$ revolutions per minute. What is the tension in the string at the top of the circle if the radius of the circle is $$0.8 m$$? (in $$N$$)

Mark correct option or options.

Keeping the banking angle same to increase the maximum speed with which a vehicle can travel on the curved road by $$10\%$$, the radius of curvature of the road has to be changed from $$20\ m$$ to-

A stone of mass m is tied to a string and is moved in a vertical circle of radius r making n revolution per minute. The total tension in the string when the stone is at its lowest point is

A particle is moving in a vertical circle. The tension in the string when passing through two platform at angles $$\displaystyle 30^o$$ and $$\displaystyle 60^o$$ vertical (lowest position) are $$T_1$$ and $$T_2$$ respectively

A weightless thread can bear tension up to $$3.7$$kg wt. A stone of mass $$500$$g is tied to it and revolved in a circular path of radius $$4$$m in a vertical plane. If $$g=10m/s^2$$, then the maximum angular velocity of the stone will be :

Railway tracks are banked on curves