For a simple harmonic oscillator, answer yes or no to the following questions. (a) Can the quantities position and velocity have the same sign? (b) Can velocity and acceleration have the same sign? (c) Can position and acceleration have the same sign?
Tension in the string
Mass of object
Yes. In simple harmonic motion, one-half of the time, the velocity is in the same direction as the displacement away from equilibrium.
Yes. Velocity and acceleration are in the same direction half the time.
No. The spring force and, therefore, the acceleration are always opposite to the position vector, and never in the same direction.
A simple pendulum has a period of 2.5 s. (i) what is its period if its length is made four times larger? (a) 1.25 s (b) 1.77 s (c) 2.5 s (d) 3.54 s (e) 5 s (ii) What is its period if the length is held constant at its initial value and the mass of the suspended bob is made four times larger? Choose from the same possibilities.
Review: A large block P attached to a light spring executes horizontal, simple harmonic motion as it slides across a frictionless surface with a frequency . Block B rests on it as shown in Figure and the coefficient of static friction between the two is . What maximum amplitude of oscillation can the system have if block B is not to slip?
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