List of top Physics Questions on Centripetal forces

A body of mass 'm' attached at the end of a string is just completing the loop in a vertical circle. The apparent weight of the body at the lowest point in its path is
(\(g\) = gravitational acceleration)

A stone of mass \(40\) g is tied to a light inextensible string of length \(50\) cm and whirled in a vertical circle at the rate of \(30\) revolutions per minute. The tension in the string when it is at the lowest point of the circle is
(Take gravitational acceleration, \(g = 10\,\text{m/s}^2\) and \(π^2 = 10\))

Two stones of masses \(m\) and \(3m\) are whirled in horizontal circles, the heavier one in a radius \(\frac{r}{3}\) and the lighter one in radius \(r\). When both the stones experience same centripetal forces, the tangential speed of lighter stone is '\(n\)' times that of the value of heavier stone. The value of '\(n\)' is

Radius of gyration of a thin uniform circular disc about the axis passing through its centre and perpendicular to its plane is \(K_c\). Radius of gyration of the same disc about a diamter of the disc is \(K_d\). the ratio \(K_d:K_c\) is

A particle describes a horizontal circle of radius 'r' in conical funnel with smooth inner surface with a speed of \(0.5\) m/s. The height of the plane of the circle from the vertex of the funnel is (acceleration due to gravity, \(g = 10\,\text{m/s}^2\))

A bucket containing water is revolved in vertical circle of radius r. To prevent the water from falling down, the period of revolution required is (\(g\) = gravitational acceleration)

A car of mass m is crossing the convex bridge of radius of curvature R with speed V. At the highest point the thrust is (\(g\) = gravitational acceleration)

Determine the centripetal force acting on a \(1000\,\text{kg}\) car moving at \(20\,\text{m/s}\) around a curve of radius \(50\,\text{m}\).

A body of mass 2 kg is moving in a circular path of radius 3 m with a constant speed of 6 m/s. What is the centripetal force acting on the body?

In case of well of death which is a vertical cylindrical wall of radius ' \(r\) ' inside which vehicle is driven in horizontal circles. If ' \(m\) ' is mass of vehicle, ' \(V\) ' is the velocity and ' \(\mu_s\) ' is the coefficient of static friction between the wheels of vehicle and walls then correct relation is [ \(g\) = acceleration due to gravity]

A car turns on a road of radius \(300\,m\). Coefficient of friction = 0.3. Find maximum speed. (Take \(g=10\,m/s^2\))

A ball is released from rest from point P of a smooth semi-spherical vessel as shown in figure. The ratio of the centripetal force and normal reaction on the ball at point Q is A while angular position of point Q is α with respect to point P. Which of the following graphs represent the correct relation between A and α when ball goes from Q to R?

A particle moves in a circular orbit of radius 'r' under a central attractive force, \( F = -\frac{k}{r} \), where k is a constant. The periodic time of its motion is proportional to

A particle is moving in a circular path with a constant speed \(v\). If \(\theta\) is the angular displacement. Then starting from \(\theta = 0\), the maximum and minimum changes in the momentum will occur, when value of \(\theta\) is respectively:

A particle p is moving in a circle of radius r with a uniform speed v, C is the centre of the circle and AB is the diameter. The angular velocity of p about A and C is in the ratio:

A particle of mass m is moving in a horizontal circle of radius R under the centripetal force \( = -\frac{k}{R^2} \) where k is a constant. What is the total energy of the particle?

An object is moving in a circle at constant speed \(v\). The magnitude of the rate of change of momentum of the object is:

In case of well of death which is a vertical cylindrical wall of radius ' \(r\) ' inside which vehicle is driven in horizontal circles. If ' \(m\) ' is mass of vehicle, ' \(V\) ' is the velocity and ' \(\mu_s\) ' is the coefficient of static friction between the wheels of vehicle and walls then correct relation is [ \(g\) = acceleration due to gravity]

The temperature of the black body increases from \(T\) to \(2T\). The factor by which the rate of emission will increase is

A prism of refractive index \(\sqrt{2}\) has refracting angle of \(60^{\circ}\). At what angle a ray must be incident on it so that it suffers minimum deviation?

A heavy mass is attached to a thin wire and is whirled in a vertical circle. The wire is most likely to break:

A fighter plane is moving in a vertical circle of radius \( r \). Its minimum velocity at the highest point \( A \) of the circle will be:

The coefficient of \( x^{24} \) in the expansion of \( (1+x^{2})^{12}(1+x^{12})(1+x^{24}) \) is

A particle moves in a circle of radius 25 cm at two revolutions per second. The acceleration of the particle in \( \text{m/s}^{2} \) is: