Question:
Radius of gyration of disc of mass 50 g and radius 2.5 cm about an axis passing through its center of gravity and perpendicular to the plane is
Radius of gyration of disc of mass 50 g and radius 2.5 cm about an axis passing through its center of gravity and perpendicular to the plane is
Updated On: Dec 18, 2023
- 6.54 cm
- 3.64 cm
- 1.77 cm
- 0.88 cm
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Here mass M = 50 g and radius R = 2.5 cm
Required moment of inertia of the disc is given by
$I=\frac{MR^2}{2}=MK^2$
so,$K^2=\frac{R^2}{2}or \, K=\frac{R}{\sqrt{2}}=\frac{2.5}{\sqrt{2}}=\frac{2.5\sqrt{2}}{2}$
= 1.767= 1.77 cm
Was this answer helpful?
1
0
Top Questions on rotational motion
- A uniform rod AB of mass 2 kg and length 30 cm is at rest on a smooth horizontal surface. An impulse of force 0.2 Ns is applied to end B. The time taken by the rod to turn through a right angle will be \[\frac{\pi}{x} \, s, \, \text{where} \, x = \_.\]
- JEE Main - 2024
- Physics
- rotational motion
- A disc of radius R and mass M is rolling horizontally without slipping with speed . It then moves up an inclined smooth surface as shown in figure. The maximum height that the disc can go up the incline is :
- JEE Main - 2024
- Physics
- rotational motion
- A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of the big drop is \( \frac{10}{x} \).The value of x is _________.
- JEE Main - 2024
- Physics
- rotational motion
- A solid sphere and a hollow cylinder roll up without slipping on the same inclined plane with the same initial speed \( v \). The sphere and the cylinder reach up to maximum heights \( h_1 \) and \( h_2 \), respectively, above the initial level. The ratio \( h_1 : h_2 \) is \( \frac{n}{10} \). The value of \( n \) is ______.
- JEE Main - 2024
- Physics
- rotational motion
- A thin circular disc of mass \(M\) and radius \(R\) is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with angular velocity \(\omega\). If another disc of same dimensions but of mass \(\frac{M}{2}\) is placed gently on the first disc co-axially, then the new angular velocity of the system is:
- JEE Main - 2024
- Physics
- rotational motion
View More Questions
Questions Asked in Punjab PMET exam
- A wheel is rotating at $ 900\,\,rpm $ about its axis. When the power is cut off it comes to rest in $ 1\min $ . The angular retardation in $ rad/{{s}^{2}} $ is
- Punjab PMET - 2011
- Motion in a plane
- Galileo writes that for angles of projection of a projectile at angles $\left(45^{\circ}+\theta\right)$ and $\left(45^{\circ}-\theta\right)$, the horizontal ranges described by the projectile are in the ratio
- Punjab PMET - 2011
- Motion in a plane
- The potential energy of a weightless spring compressed by a distance a is proportional to
- Punjab PMET - 2011
- Oscillations
- The plane of a dip circle is set in the geographic meridian and the apparent dip is $\delta_1$. It is then set in a vertical plane perpendicular to the geographic meridian. The apparent dip angle is $\delta_2$. The diclination $\theta$ at the plane is
- Punjab PMET - 2011
- the earth's magnetic field
- The wavelength of the first line of Balmer series is $6563\,??. The Rydberg constant for hydrogen is about
View More Questions
Concepts Used:
Rotational Motion
Rotational motion can be defined as the motion of an object around a circular path, in a fixed orbit.
Rotational Motion Examples:
The wheel or rotor of a motor, which appears in rotation motion problems, is a common example of the rotational motion of a rigid body.
Other examples:
- Moving by Bus
- Sailing of Boat
- Dog walking
- A person shaking the plant.
- A stone falls straight at the surface of the earth.
- Movement of a coin over a carrom board
Types of Motion involving Rotation:
- Rotation about a fixed axis (Pure rotation)
- Rotation about an axis of rotation (Combined translational and rotational motion)
- Rotation about an axis in the rotation (rotating axis)