Q. 43.9( 48 Votes )
One end of a string of length l is connected to a particle of mass m and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed v the net force on the particle (directed towards the centre) is:
T is the tension in the string. [Choose the correct alternative].
A . T,
The centripetal force experienced by a particle connected to a string revolving in a circular path around a centre is given by,
F is the centripetal force acting on the particle
m is the mass of the particle.
v is the speed of the particle and
l is the length of the string.
Here, the tension produces in the spring provides the centripetal force required by the body to stay in a circular motion.
Thus, the net force on the particle is given as,
T is the tension in the string.
Rate this question :
The displacement vector of a particle of mass m is given by r (t) = î A cos ωt + ĵ B sin ωt.
(a) Show that the trajectory is an ellipse.
(b) Show that F = −mω2r
Physics - Exemplar
A racing car travels on a track (without banking) ABCDEFA (Fig. 5.10). ABC is a circular arc of radius 2 R. CD and FA are straight paths of length R and DEF is a circular arc of radius R = 100 m. The co-efficient of friction on the road is μ = 0.1. The maximum speed of the car is 50 m s-1. Find the minimum time for completing one round.
Physics - Exemplar
A motorcycle is going on an over bridge of radius R. The driver maintains a constant speed. As the motorcycle is ascending on the over bridge, the normal force on itHC Verma - Concepts of Physics Part 1
Why are mountain roads generally made winding upwards rather than going straight up?Physics - Exemplar
A simple pendulum having a bob of mass m is suspended from the ceiling of a car used in a stunt film shooting. The car moves up along an inclined cliff at a speed υ and makes a jump to leave the cliff and lands at some distance, Let R be the maximum height of the car from the top of the cliff. The tension in the string when the car is in air isHC Verma - Concepts of Physics Part 1
The center of a wheel rolling on a plane surface moves with a speed A particle on the rim of the wheel at the same level as the center will be moving at speedHC Verma - Concepts of Physics Part 1
A body is rotating non-uniformly about a vertical axis fixed in an inertial frame. The resultant force on a particle of the body not on the axis isHC Verma - Concepts of Physics Part 1
Figure (10-Q3) shows a small wheel fixed coaxially on a bigger one of double the radius. The system rotates about the common axis. The strings supporting A and B do not slip on the wheels. If x and y be the distances travelled by A and B in the same time interval, then
HC Verma - Concepts of Physics Part 1
A body is in pure rotation, The linear speed υ of a particle, the distance r of the particle from the axis and the angular velocity ω of the body are related as ThusHC Verma - Concepts of Physics Part 1