Physics-
General
Easy

Question

A compound pendulum is constructed by taking a thin, uniform circular ring of mass m and radius R and affixing a straight, thin uniform rod of mass m and length 2R across one of its diameter as shown in the diagram .

  1. If it is hung about horizontal axis passing through A. Find its time period for small disturbance in the plane of paper.    
  2. Now the pendulum is displaced by a small angle theta subscript 0 end subscript and released from rest find maximum velocity of C and its acceleration (i.e of point C) at that moment.    
  3. Now if it is hung about B, what is time period for similar oscillation as in part (A) .    
  4. none    

The correct answer is: Now the pendulum is displaced by a small angle theta subscript 0 end subscript and released from rest find maximum velocity of C and its acceleration (i.e of point C) at that moment.

Related Questions to study

General
physics-

The light pulley hangs from the ceiling on a spring with a force constant k. The block “m” hangs from an ideal string.

The light pulley hangs from the ceiling on a spring with a force constant k. The block “m” hangs from an ideal string.

physics-General
General
physics-

A uniform rod of mass m suspended by two identical threads l in length (see figure) was turned through a small angle about the vertical axis passing through its middle point C. The threads deviated in the process through a small angle Then the rod was released to start performing small oscillations. The rod's oscillation energy is

A uniform rod of mass m suspended by two identical threads l in length (see figure) was turned through a small angle about the vertical axis passing through its middle point C. The threads deviated in the process through a small angle Then the rod was released to start performing small oscillations. The rod's oscillation energy is

physics-General
General
physics-

Find the new time period of oscillation if original time period was T subscript 0 end subscript

Find the new time period of oscillation if original time period was T subscript 0 end subscript

physics-General
parallel
General
physics-

A block of mass m subscript 1 end subscript equals 1 kg is attached to a spring of force constant k = 24 N/cm at one end and attached to a string tensioned by mass m subscript 2 end subscript equals 5 k g Deduce the frequency of oscillations of the system. text If  end text m subscript 2 end subscript is initially supported in hand with spring unstretched and then suddenly released, find

A block of mass m subscript 1 end subscript equals 1 kg is attached to a spring of force constant k = 24 N/cm at one end and attached to a string tensioned by mass m subscript 2 end subscript equals 5 k g Deduce the frequency of oscillations of the system. text If  end text m subscript 2 end subscript is initially supported in hand with spring unstretched and then suddenly released, find

physics-General
General
physics-

Two identical blocks P and Q have mass m each. They are attached to two identical springs initially unstretched as shown. Now the left spring (along with P) is compressed by A/2 and the right spring (along with Q) is compressed by A. Both the blocks are released simultaneously. They collide and stick to each other. The amplitude of oscillation of combined mass is

Two identical blocks P and Q have mass m each. They are attached to two identical springs initially unstretched as shown. Now the left spring (along with P) is compressed by A/2 and the right spring (along with Q) is compressed by A. Both the blocks are released simultaneously. They collide and stick to each other. The amplitude of oscillation of combined mass is

physics-General
General
physics-

Two equal uniform rods P and Q move with the same velocity v as shown in the figure. The second rod has an angular velocity omega left parenthesis less than 6 v divided by l right parenthesis (clockwise) about G' in addition to v.

Two equal uniform rods P and Q move with the same velocity v as shown in the figure. The second rod has an angular velocity omega left parenthesis less than 6 v divided by l right parenthesis (clockwise) about G' in addition to v.

physics-General
parallel
General
physics-

The cylinder shown, with mass M and radius R, has a radially dependent density. The cylinder starts from rest and rolls without slipping down an inclined plane of height H. At the bottom of the plane its translational speed is left parenthesis 8 g H divided by 7 right parenthesis to the power of 1 divided by 2 end exponent Which of the following is the rotational inertia of the cylinder?

The cylinder shown, with mass M and radius R, has a radially dependent density. The cylinder starts from rest and rolls without slipping down an inclined plane of height H. At the bottom of the plane its translational speed is left parenthesis 8 g H divided by 7 right parenthesis to the power of 1 divided by 2 end exponent Which of the following is the rotational inertia of the cylinder?

physics-General
General
physics-

A hollow cylinder with inner radius R, outer radius 2R mass M is rolling with speed of its axis v. Its kinetic energy is

A hollow cylinder with inner radius R, outer radius 2R mass M is rolling with speed of its axis v. Its kinetic energy is

physics-General
General
physics-

A uniform rod of mass 2m and length l is pivoted at a points S which is fraction numerator l over denominator 4 end fraction from one end and the rod is free to rotate in a vertical plane as shown. A particle of mass m strikes the rod elastically at its mid point C. Before the collision particle was moving horizontally with speed u. Find

A uniform rod of mass 2m and length l is pivoted at a points S which is fraction numerator l over denominator 4 end fraction from one end and the rod is free to rotate in a vertical plane as shown. A particle of mass m strikes the rod elastically at its mid point C. Before the collision particle was moving horizontally with speed u. Find

physics-General
parallel
General
physics-

If the ground is smooth what is total kinetic energy of the body after 2 seconds

If the ground is smooth what is total kinetic energy of the body after 2 seconds

physics-General
General
physics-

Energies imparted to dumbbell in figure (A) and figure (B) are respectively

Energies imparted to dumbbell in figure (A) and figure (B) are respectively

physics-General
General
physics-

Velocity of C.M. and angular velocity of system in figure (A) are respectively

Velocity of C.M. and angular velocity of system in figure (A) are respectively

physics-General
parallel
General
physics-

A mechanism consists of a part which is translated with a velocity u and a rod AB of length L and mass M hinged at A. The rod rotates about axis A with angular velocity omega. The kinetic energy of rod when it is vertical as shown is

A mechanism consists of a part which is translated with a velocity u and a rod AB of length L and mass M hinged at A. The rod rotates about axis A with angular velocity omega. The kinetic energy of rod when it is vertical as shown is

physics-General
General
physics-

Two strings support a uniform rod as shown. String at end B is cut. Which of the following is true just after cut

Two strings support a uniform rod as shown. String at end B is cut. Which of the following is true just after cut

physics-General
General
physics-

A small ball of mass m moving with the velocity V, collide with the smooth wall elastically as shown in the figure. After impact the change in angular momentum about P is

A small ball of mass m moving with the velocity V, collide with the smooth wall elastically as shown in the figure. After impact the change in angular momentum about P is

physics-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.