Q. 2

Expert-verifiedFound in: Page 415

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

An air-track glider is attached to a spring. The glider is pulled to the right and released from rest at . It then oscillates with a period of and a maximum speed of .

a. What is the amplitude of the oscillation?

b. What is the glider’s position at ?

a. The oscillation has an amplitude of .

b. The glider’s position at is .

Time period, .

Maximum speed, .

Time period,

Amplitude,

Where, is the angular frequency.

Substitute the values of and to obtain .

The oscillation has an amplitude of

Time period,

Maximum speed,

Time,

Angular frequency,

Amplitude,

Initial condition, ,.

Equation of the simple harmonic motion is .

Where, is the amplitude, is the position, is the angular frequency and is the phase.

Then,

At time , the position of the glider is .

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