Practice General Mathematical Form Of Shm (1.4) - Theme C: Wave Behaviour
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General Mathematical Form of SHM

Practice - General Mathematical Form of SHM

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the cosine form of displacement in SHM?

💡 Hint: Think of the oscillation starting at the maximum point.

Question 2 Easy

What is the definition of amplitude?

💡 Hint: What does A represent in the displacement equation?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which formula represents displacement in SHM?

x(t) = A cos(ωt + φ)
x(t) = A sin(ωt + φ)
x(t) = A + ωt

💡 Hint: Which function starts at the maximum point of oscillation?

Question 2

True or False: Acceleration in SHM is always in the same direction as displacement.

True
False

💡 Hint: Remember the role of restoring forces in SHM.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A mass-spring system oscillates with an amplitude of 0.5 m and an angular frequency of 2 rad/s. Calculate its maximum speed.

💡 Hint: Remember to use the maximum velocity formula for SHM.

Challenge 2 Hard

If the phase constant φ = π/3, find the displacement x(0) when t = 0 seconds.

💡 Hint: Start with the cosine formula.

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Reference links

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