Consider a mass-spring system undergoing SHM. Which one of the following statements is correct concerning the...

Consider a mass-spring system undergoing SHM. Which one of the following statements is correct concerning the velocity of the mass as a function of time?

a)The velocity varies sinusoidally with time

b) the velocity is constant, it does not depend on time

c) the velocity varies linearly with time Consider a mass-spring system undergoing SHM.

Which one of the following statements is correct concerning the dependence of the period of the motion on the amplitude of the motion?

a) the period does not depend on the amplitude

b) if the amplitude is doubled, the period is doubled.

c) if the amplitude is doubled, the period is one-half of the original period

Solutions

Expert Solution

Consider a mass-spring system undergoing SHM. Which one of the following statements is correct concerning the velocity of the mass as a function of time?

a)The velocity varies sinusoidally with time

b) the velocity is constant, it does not depend on time

c) the velocity varies linearly with time Consider a mass-spring system undergoing SHM.

In this option a is correct because V = ACoswt or V = ASinwt

so velocity V is the function of Sin

velocity vary sinusoidally

Which one of the following statements is correct concerning the dependence of the period of the motion on the amplitude of the motion?

a) the period does not depend on the amplitude

b) if the amplitude is doubled, the period is doubled.

c) if the amplitude is doubled, the period is one-half of the original period

Period does not depend on amplitude

option a is correct

T = 2*pi sqrt(L/g) or T =2*pi sqrt(m/K)

time period do not depend on amplitude A

genius_generous answered 1 year ago

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