A particle is fastened at the end of a string and is whirled in a vertical circle with the other end of the string being fixed.

you are mistaken in that centripetal force is provided by the resultant force of tension(T) in the wire and the weight(mg) of the particle in vertical circle.Equation at the lowest...

(a) 10 cm/s, 10 cm/s 2  Explanation:  Velocity of the particle in a circular motion is equal to ωr , so if ω is constant the velocity is proportional to the radius....

(c) mg is not greater than mv2/r Explanation : At the top position the weight of the water mg acts downward to bring it down while due to inertia water tries to escape upward...

 (c) along a tangent  Explanation: When a particle moves in a circle with a speed v, its instantaneous velocity has a magnitude v and direction along the tangent at that point. The...

(c) √(3gl). Explanation:-  Let speed at the top = v, it is balanced by weight mg, so, mv²/l=mg  →v²= gl  Now let the speed when string is horizontal = v'  Here total energy = ½mv'²=½mv²+mgl  v'²=v²+2gl =...

(a) The string becomes slack when the particle reaches its highest point.  (d) The particle again passes through the initial position Explanation:  Since the particle is just able to complete the circle, at...

(a) the spring was initially compressed by a distance! and was finally in its natural length  (b) it was initially streched by a distance x and was in its natural length  Explanation:  Since in the...

(a) The volume of wooden block = 0.5/800 m³  =0.000625 m³  The force of buoyancy =0.000625*1000 kg =0.625 kg  The Net force on the block in the water =0.625-0.500 kg-weight  =0.125*10 N {Taking g =...

(c) mg is not greater than mv2/r Explanation : At the top position the weight of the water mg acts downward to bring it down while due to inertia water tries to...

 (c) along a tangent  Explanation: When a particle moves in a circle with a speed v, its instantaneous velocity has a magnitude v and direction along the tangent at that point. The direction of...