Question bank: Simple Harmonic Motion: Definition

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Question 1:

Medium

A young girl observes the swing of a simple pendulum in the leisure square of her school. She notices that the pendulum's movement is repetitive and follows similar patterns. Based on this observation, she wants to understand if the pendulum's movement is an example of Simple Harmonic Motion (SHM). (a) Define Simple Harmonic Motion, describing its main characteristics. (b) Considering the definition of SHM, explain if the pendulum's movement fits into this category or not. (c) If the answer is affirmative, explain what condition must be met for a simple pendulum to perform SHM. If the answer is negative, indicate the necessary conditions for a movement to be considered simple harmonic.

Simple Harmonic Motion: Definition

Question 2:

Hard

A simple pendulum consists of a mass M attached to a string of length L and negligible mass. The pendulum is moved away from its equilibrium position and released to oscillate. During one of the oscillations, a student records that the mass reaches its highest point, which is 0.4 meters above the equilibrium position. Considering the acceleration due to gravity as 9.8 m/s² and neglecting energy losses due to friction, calculate the period of the motion. Additionally, determine the tension in the string at the highest point of the oscillation. Consider sin(θ) ≈ θ for small angles, where θ is measured in radians.

Simple Harmonic Motion: Definition

Contextualized Question

Calculus Question

Question 3:

Medium

The equation of harmonic oscillation is used to describe the behavior of Simple Harmonic Motion (SHM). This equation is given by F=-kx, where F is the force, k is the spring constant, and x is the displacement of the particle from its equilibrium position. Which of these characteristics is NOT related to SHM?

Simple Harmonic Motion: Definition

Contextualized Question

Question 4:

Medium

Simple Harmonic Motion (SHM) is an oscillatory motion that occurs when a body, subject to a restoring force, moves periodically around an equilibrium point. The mathematical expression that describes this motion is given by the formula y = A.sin(ωt + φ). Which of these parameters represents the initial position of the body at time t = 0?

Simple Harmonic Motion: Definition

Contextualized Question

Question 5:

Medium

Simple Harmonic Motion: Definition

IARA TIP

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