Question

a spring loaded with mass m oscillates with simple harmonic motion the amplitude of the motion is a and the spring has total energy what is the total energy of the spring when the mass is increased to 3 m and the amplitude is increase 2A​

Answer 1

Answer:

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Class 11

>>Physics

>>Oscillations

>>Energy in SHM

>>The total mechanical energy of a spring

Question

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The total mechanical energy of a spring-mass system in simple harmonic motion is E=

2

1

mω

2

A

2

. Suppose the oscillating particle is replaced by another particle of double the mass while the amplitude A remains the same. The new mechanical energy will:

Medium

Solution

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Correct option is D)

Energy of spring-mass system is given by E=

2

1

mw

2

A

2

Time period of the oscillation T=2π

K

m

2π

T

=

K

m

⟹w=

m

K

Thus E=

2

1

m×

m

K

×A

2

⟹E=

2

1

KA

2

Hence new mechanical energy will remain the same. i.e E

′

=E as energy independent of mass.

Answer 2

Answer:

remain E

Explanation:

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