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Q. 2

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 415

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Illustration

Short Answer

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 .

See the step by step solution

Step by Step Solution

Step 1 : Given Information (part a)

Time period, .

Maximum speed, .

Step 2 :Formula used (part a)

Time period,

Amplitude,

Where, is the angular frequency.

Step 3 : Calculation (part a)

Substitute the values of and to obtain .

Step 4 : Final Answer (part a)

The oscillation has an amplitude of

Step 5 : Given Information (part b) 

Time period,

Maximum speed,

Time,

Angular frequency,

Amplitude,

Initial condition, ,.

Step 6 : Formula used (part b) 

Equation of the simple harmonic motion is .

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

Step 7 : Calculation (part b)

Then,

Step 8 : Final Answer (part b) 

At time , the position of the glider is .

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