Physics-
General
Easy

Question

A uniform rod of mass M and length L lies radially on a disc rotating with angular speed w in a horizontal plane about its axis. The rod does not slip on the disc and the centre of the rod is at a distance R from the centre of the disc. Then the kinetic energy of the rod is-

  1. fraction numerator 1 over denominator 2 end fraction m omega to the power of 2 end exponent open parentheses R to the power of 2 end exponent plus fraction numerator L to the power of 2 end exponent over denominator 12 end fraction close parentheses    
  2. fraction numerator 1 over denominator 2 end fraction m omega to the power of 2 end exponent R to the power of 2 end exponent    
  3. fraction numerator 1 over denominator 24 end fraction m omega to the power of 2 end exponent L to the power of 2 end exponent    
  4. None of these    

The correct answer is: fraction numerator 1 over denominator 2 end fraction m omega to the power of 2 end exponent open parentheses R to the power of 2 end exponent plus fraction numerator L to the power of 2 end exponent over denominator 12 end fraction close parentheses

Related Questions to study

General
physics-

A uniform rod AB of mass m and length l at rest on a smooth horizontal surface. An impulse P is applied to the end B. The time taken by the rod to turn through a right angle is :-

A uniform rod AB of mass m and length l at rest on a smooth horizontal surface. An impulse P is applied to the end B. The time taken by the rod to turn through a right angle is :-

physics-General
General
physics-

A thin rod of length 4l, mass 4m is bent at the points as shown in the fig. What is the moment of inertia of the rod about the axis passing point O & perpendicular to the plane of the paper

A thin rod of length 4l, mass 4m is bent at the points as shown in the fig. What is the moment of inertia of the rod about the axis passing point O & perpendicular to the plane of the paper

physics-General
General
physics-

A smooth tube of certain mass is rotated in gravity free space and released. The two balls shown in the figure move towards ends of the tube. For the whole system which of the following quantity is not conserved :-

A smooth tube of certain mass is rotated in gravity free space and released. The two balls shown in the figure move towards ends of the tube. For the whole system which of the following quantity is not conserved :-

physics-General
parallel
General
physics-

A solid sphere is rolling on a frictionless surface, shown in figure with a translational velocity v m/s. If it is to climb the inclined surface then v should be:

A solid sphere is rolling on a frictionless surface, shown in figure with a translational velocity v m/s. If it is to climb the inclined surface then v should be:

physics-General
General
physics-

A rod hinged at one end is released from the horizontal position as shown in the figure. When it becomes vertical its lower half separates without exerting any reaction at the breaking point. Then the maximum angle ' ' q made by the hinged upper half with the vertical is

A rod hinged at one end is released from the horizontal position as shown in the figure. When it becomes vertical its lower half separates without exerting any reaction at the breaking point. Then the maximum angle ' ' q made by the hinged upper half with the vertical is

physics-General
General
physics-

A disc of mass M and radius R rolls on a horizontal surface and then rolls up an inclined plane as shown in the figure. If the velocity of the disc is v, the height to which the disc will rise will be :–

A disc of mass M and radius R rolls on a horizontal surface and then rolls up an inclined plane as shown in the figure. If the velocity of the disc is v, the height to which the disc will rise will be :–

physics-General
parallel
General
chemistry-

The reaction of with HBr gives

The reaction of with HBr gives

chemistry-General
General
General

The line parallel to the x-axis and passing through the intersection of the lines a x plus 2 b y plus 3 b equals 0 times text  and  end text times b x minus 2 a y minus 3 a equals 0 where left parenthesis a comma b right parenthesis not equal to left parenthesis 0 comma 0 right parenthesis is

In this question, we have to find the lines where it lies and what’s its distance from x-axis. If u=ax1+by1+c1=0 and v=ax2+by2+c2=0 are two intersecting lines, then the equation u + kv =0 represents a family of lines. Remember the family of lines

The line parallel to the x-axis and passing through the intersection of the lines a x plus 2 b y plus 3 b equals 0 times text  and  end text times b x minus 2 a y minus 3 a equals 0 where left parenthesis a comma b right parenthesis not equal to left parenthesis 0 comma 0 right parenthesis is

GeneralGeneral

In this question, we have to find the lines where it lies and what’s its distance from x-axis. If u=ax1+by1+c1=0 and v=ax2+by2+c2=0 are two intersecting lines, then the equation u + kv =0 represents a family of lines. Remember the family of lines

General
maths-

Distance between the two parallel lines y equals 2 x plus 7and y equals 2 x plus 5 is

Distance between the two parallel lines y equals 2 x plus 7and y equals 2 x plus 5 is

maths-General
parallel
General
chemistry-

When propionic acid is treated with aqueous sodium bicarbonate  is liberated. The ‘C’ of  CO2 comes from

When propionic acid is treated with aqueous sodium bicarbonate  is liberated. The ‘C’ of  CO2 comes from

chemistry-General
General
chemistry-

The following compound is used as

The following compound is used as

chemistry-General
General
physics-

 In the reaction, product P is

 In the reaction, product P is

physics-General
parallel
General
chemistry-

The compound X in the reaction
 is

The compound X in the reaction
 is

chemistry-General
General
chemistry-

The major organic product formed from the following reaction

The major organic product formed from the following reaction

chemistry-General
General
chemistry-

  The compound (X) is

  The compound (X) is

chemistry-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.