Defining Simple Harmonic Motion (SHM) AP Physics C Mechanics MCQ – Exam Style Questions etc.
Defining Simple Harmonic Motion (SHM) AP Physics C Mechanics MCQ
Unit 7: Oscillations
Weightage : 10-15%
Questions (a) , (b) , (c)
The following pairs of equations show how the x- and y-coordinates of a particle vary with time t. In the equations, A, B, and ω are nonzero constants. Choose the pair of equations that best answers each of the following questions. A choice may be used once, more than once, or not at all.
Question(a)
Which pair of equations can describe the path of a particle moving with zero acceleration?
Answer/Explanation
Ans:C
Solution: For zero acceleration, velocity must be constant, which means position is a linear function of time.
Question(b)
Which pair of equations can describe the path of a particle moving with an acceleration that is perpendicular to the velocity of the particle at t = 0 and remains constant in magnitude and direction?
Answer/Explanation
Ans:E
Solution: An example of an acceleration constant in magnitude and direction is the acceleration due to gravity. For this acceleration to be perpendicular to the velocity means the particle is moving horizontally at t = 0. (E) satisfies these conditions since vx = constant and vy (0) = 0.
Question(c)
Which pair of equations can describe the path of a particle that moves with a constant speed and with a nonzero acceleration that is constant in magnitude?
Answer/Explanation
Ans:A
Solution: Constant speed while accelerating is circular motion. (A) represents equations of motion for an object moving in a circle
Question(c)
Which pair of equations can describe the path of a particle that moves with a constant speed and with a nonzero acceleration that is constant in magnitude?
Answer/Explanation
Ans:A
Solution: Constant speed while accelerating is circular motion. (A) represents equations of motion for an object moving in a circle