NCERT Class 11 Physics Solutions: Chapter 14 – Oscillations-Part 5

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Question 14.8:

A spring balance has a scale that reads from The length of the scale is A body suspended from this balance, when displaced and released, oscillates with a period of . What is the weight of the body?

Answer:

Maximum mass that the scale can read,

Maximum displacement of the springLength of the scale,

Time period,

Maximum force exerted on the spring,

Where,

Acceleration due to gravity

the SHM and Time period formulam is showing in figure.

Figure Shown the SHM and Time Period Formula

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Mass , is suspended from the balance.

Time period,

Weight of the body

Hence, the weight of the body is about .

Question 14.9:

A spring having with a spring constant is mounted on a horizontal table as shown in Figure A mass of is attached to the free end of the spring. The mass is then pulled sideways to a distance of and released.

A spring having with a spring constant 1200 Nm^(-1) is mount …

Spring Mounted on a Horizontal Table

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Determine

The frequency of oscillations,

Maximum acceleration of the mass, and

The maximum speed of the mass.

Answer:

Spring constant,

Mass

Displacement,

The frequency of oscillations , is given by the relation:

Where, is the time period

Hence, the frequency of oscillations is

Maximum acceleration is given by the relation:

Where,

Angular Frequancy

Maximum displacement

Hence, the maximum acceleration of the mass is.

Maximum velocity,

Hence, the maximum velocity of the mass is