Question
Obtain an expression for the moment of inertia of a disc relative to its geometric axis.

Answer

self

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

There is a layer of ice 10cm thick over the surface of a pond. Temperature above the surface is -5°C. How long will it take for the next 1mm of ice to form? The thermal conductivity of ice is 0.008 CGS units and its latent heat is 80 cal/g. Density of ice = 0.9 g/cc.
An object falling through a fluid is observed to have acceleration given by a = g - bv where g = gravitational acceleration and b is constant. After a long time of release, it is observed to fall with constant speed. What must be the value of constant speed?
A block of mass $200g$ is suspended through a vertical spring. The spring is stretched by $1.0cm$ when the block is in equilibrium. A particle of mass $120g$ is dropped on the block from a height of $45cm$. The particle sticks to the block after the impact. Find the maximum extension of the spring. Take $g = 10m/s^2$.
A parallel-plate capacitor having plate area $20cm^2$ and separation between the plates 1.00mm is connected to a battery of 12.0V. The plates are pulled apart to increase the separation to 2.0mm.
  1. Calculate the charge flown through the circuit during the process.
  2. How much energy is absorbed by the battery during the process?
  3. Calculate the stored energy in the electric field before and after the process.
  4. Using the expression for the force between the plates, find the work done by the person pulling the plates apart.
  5. Show and justify that no heat is produced during this transfer of charge as the separation is increased.
A right-angled triangle abc, made from a metallic wire, moves at a uniform speed v in its plane as shown in figure. A uniform magnetic field B exists in the perpendicular direction. Find the emf induced:
  1. In the loop abc.
  2. In the segment bc.
  3. In the segment ac.
  4. In the segment ab.
A ball of mass m, moving with a speed $2v_0$, collides inelastically $(e > 0)$ with an identical ball at rest. Show that:
For a general collision, the angle between the two velocities of scattered balls is less than $90°$
The earth has a radius of $6400km$. The inner core of 1000km radius is solid. Outside it, there is a region from $1000km$ to a radius of $3500km$ which is in molten state. Then again from $3500km$ to $6400km$ the earth is solid. Only longitudinal (P) waves can travel inside a liquid. Assume that the P wave has a speed of $8km s^{–1}$ in solid parts and of $5km s^{–1}$ in liquid parts of the earth. An earthquake occurs at some place close to the surface of the earth. Calculate the time after which it will be recorded in a seismometer at a diametrically opposite point on the earth if wave travels along diameter?
Two spherical bodies, each of mass 50kg, are placed at a separation of 20cm. Equal charges are placed on the bodies and it is found that the force of Coulomb repulsion equals the gravitational attraction in magnitude. Find the magnitude of the charge placed on either body.
A spring having with a spring constant $1200N m^{-1}$ is mounted on a horizontal table as shown in Fig. A mass of $3kg$ is attached to the free end of the spring. The mass is then pulled sideways to a distance of $2.0cm$ and released.
Determine (i) the frequency of oscillations, (ii) maximum acceleration of the mass, and (iii) the maximum speed of the mass.
The densities of wood and benzene at $0^{\circ} \mathrm{C}$ are $880 \mathrm{~kg} \mathrm{~m}^{-3}$ and $900 \mathrm{~kg} \mathrm{~m}^{-3}$ respectively. The coefficients of volume expansion are $1.2 \times 10^{-3}{ }^{\circ} \mathrm{C}^{-1}$ for wood and $1.5 \times 10^{-3}{ }^{\circ} \mathrm{C}^{-1}$ for benzene. At what temperature will a piece of wood just sink in benzene?