Compound Pendulum Problems – Physics Notebook

Problem 1:
Show That The Length Of A Simple Pendulum Equivalent To The Compound Pendulum Is \( L=\frac{I}{Ml} \).

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Problem 2:
Show That A Uniform Rod Of Length \( l \) Hanging As A Compound Pendulum From A Pivot At One End Has Same Frequency For Small Oscillation As A Simple Pendulum Of Length \( \frac{2l}{3} \).

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Problem 3:
A Cube Of Edges \( S \) And Mass \( M \) Is Suspended Vertically From One Of Its Edges As The Axis Of Suspension. Find The Time Period Of Small Oscillation. What Is The Length Of Equivalent Simple Pendulum.

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Problem 4:
What Is The Distance Between The Centre Of The Suspension And Centre Of Oscillation Of A Uniform Cylindrical Metal Bar Used As A Second Pendulum.

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Problem 5:
A Uniform Solid Sphere Of Radius ‘a’ And Mass ‘M’ Is Suspended Vertically Downward From A Point On Its Surface. (i) Find The Time Period For Small Oscillation, And (ii) The Length Of The Equivalent Simple Pendulum.

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Problem 6:
A Rectangular Plate Having Edges Of Lengths ‘a’ And ‘b’ Respectively, Hangs Vertically From The Edge Of Length ‘a’. (i) Find The Time Period For Small Oscillations And (ii) The Length Of The Equivalent Simple Pendulum.

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Problem 7:
Calculate The Time Period Of Oscillation Of A Solid Cylinder Of Length ‘l’ And Radius ‘r’ About An Axis Perpendicular To Its Axis Of Symmetry And At A Distance ‘d’ From Its Centre Of Mass, Also Calculate The Minimum Time Period.

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Problem 1:
Show That The Length Of A Simple Pendulum Equivalent To The Compound Pendulum Is \( L=\frac{I}{Ml} \).

Problem 2:
Show That A Uniform Rod Of Length \( l \) Hanging As A Compound Pendulum From A Pivot At One End Has Same Frequency For Small Oscillation As A Simple Pendulum Of Length \( \frac{2l}{3} \).

Problem 3:
A Cube Of Edges \( S \) And Mass \( M \) Is Suspended Vertically From One Of Its Edges As The Axis Of Suspension. Find The Time Period Of Small Oscillation. What Is The Length Of Equivalent Simple Pendulum.

Problem 4:
What Is The Distance Between The Centre Of The Suspension And Centre Of Oscillation Of A Uniform Cylindrical Metal Bar Used As A Second Pendulum.

Problem 5:
A Uniform Solid Sphere Of Radius ‘a’ And Mass ‘M’ Is Suspended Vertically Downward From A Point On Its Surface. (i) Find The Time Period For Small Oscillation, And (ii) The Length Of The Equivalent Simple Pendulum.

Problem 6:
A Rectangular Plate Having Edges Of Lengths ‘a’ And ‘b’ Respectively, Hangs Vertically From The Edge Of Length ‘a’. (i) Find The Time Period For Small Oscillations And (ii) The Length Of The Equivalent Simple Pendulum.

Problem 7:
Calculate The Time Period Of Oscillation Of A Solid Cylinder Of Length ‘l’ And Radius ‘r’ About An Axis Perpendicular To Its Axis Of Symmetry And At A Distance ‘d’ From Its Centre Of Mass, Also Calculate The Minimum Time Period.

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Problem 1: Show That The Length Of A Simple Pendulum Equivalent To The Compound Pendulum Is \( L=\frac{I}{Ml} \).

Problem 2:Show That A Uniform Rod Of Length \( l \) Hanging As A Compound Pendulum From A Pivot At One End Has Same Frequency For Small Oscillation As A Simple Pendulum Of Length \( \frac{2l}{3} \).

Problem 3:A Cube Of Edges \( S \) And Mass \( M \) Is Suspended Vertically From One Of Its Edges As The Axis Of Suspension. Find The Time Period Of Small Oscillation. What Is The Length Of Equivalent Simple Pendulum.

Problem 4:What Is The Distance Between The Centre Of The Suspension And Centre Of Oscillation Of A Uniform Cylindrical Metal Bar Used As A Second Pendulum.

Problem 5:A Uniform Solid Sphere Of Radius ‘a’ And Mass ‘M’ Is Suspended Vertically Downward From A Point On Its Surface. (i) Find The Time Period For Small Oscillation, And (ii) The Length Of The Equivalent Simple Pendulum.

Problem 6:A Rectangular Plate Having Edges Of Lengths ‘a’ And ‘b’ Respectively, Hangs Vertically From The Edge Of Length ‘a’. (i) Find The Time Period For Small Oscillations And (ii) The Length Of The Equivalent Simple Pendulum.

Problem 7:Calculate The Time Period Of Oscillation Of A Solid Cylinder Of Length ‘l’ And Radius ‘r’ About An Axis Perpendicular To Its Axis Of Symmetry And At A Distance ‘d’ From Its Centre Of Mass, Also Calculate The Minimum Time Period.

Recently Added

Madam Marie Curie: A Radiant Legacy of Science, Sacrifice, and Inspiration.

Sir Isaac Newton: The Extraordinary Life And Legacy Of A Scientific Genius.

Galileo Galilei: From Starry Discoveries To Earthly Trials – A Revolutionary Journey Of The Father Of Modern Physics

What Are The Basic Postulates Of Statistical Mechanics?

Assuming Maxwell-Boltzmann Distribution Of Molecular Speed, Obtain The Expression Of (i) Average Velocity (ii) r.m.s. Velocity And (iii) Most Probable Velocity.

Follow Us

Stay Ahead in Physics!

Problem 1:
Show That The Length Of A Simple Pendulum Equivalent To The Compound Pendulum Is \( L=\frac{I}{Ml} \).

Problem 2:
Show That A Uniform Rod Of Length \( l \) Hanging As A Compound Pendulum From A Pivot At One End Has Same Frequency For Small Oscillation As A Simple Pendulum Of Length \( \frac{2l}{3} \).

Problem 3:
A Cube Of Edges \( S \) And Mass \( M \) Is Suspended Vertically From One Of Its Edges As The Axis Of Suspension. Find The Time Period Of Small Oscillation. What Is The Length Of Equivalent Simple Pendulum.

Problem 4:
What Is The Distance Between The Centre Of The Suspension And Centre Of Oscillation Of A Uniform Cylindrical Metal Bar Used As A Second Pendulum.

Problem 5:
A Uniform Solid Sphere Of Radius ‘a’ And Mass ‘M’ Is Suspended Vertically Downward From A Point On Its Surface. (i) Find The Time Period For Small Oscillation, And (ii) The Length Of The Equivalent Simple Pendulum.

Problem 6:
A Rectangular Plate Having Edges Of Lengths ‘a’ And ‘b’ Respectively, Hangs Vertically From The Edge Of Length ‘a’. (i) Find The Time Period For Small Oscillations And (ii) The Length Of The Equivalent Simple Pendulum.

Problem 7:
Calculate The Time Period Of Oscillation Of A Solid Cylinder Of Length ‘l’ And Radius ‘r’ About An Axis Perpendicular To Its Axis Of Symmetry And At A Distance ‘d’ From Its Centre Of Mass, Also Calculate The Minimum Time Period.