Question

STT 14.3 The graphs in the table above apply to pendulum motions as well as the motion of a mass on a spring. a pendulum in a clock has a period of 2.0 seconds you pull the pendulum to the right- a positive displacement- and let it go. we call this time t=0. at what time will the pendulum A first be at it's maximum negative displacement

B First have its maximum speed
C first have it's maximum velocity
D first have its maximum positive acceleration?

Answer 1

The pendulum will first be at its maximum negative displacement at position x = -A, at maximum speed at position x = 0, at maximum velocity at position x = 0, and at maximum positive acceleration at position x = 0.

Step-by-step explanation:

The pendulum will first be at its maximum negative displacement when it reaches the position x = -A. This occurs after the mass is released from rest and moves in the negative x-direction, slowing until it comes to a stop at x = -A.

The pendulum will first have its maximum speed when it passes through the equilibrium position x = 0. This is where the mass reaches its maximum speed in the positive x-direction.

The pendulum will first have its maximum velocity when it reaches the position x = 0 again. This is where the mass changes direction and starts moving towards maximum positive displacement.

The pendulum will first have its maximum positive acceleration when it passes through the equilibrium position x = 0 again. This is when the mass changes direction and starts moving towards maximum positive displacement with an increasing speed.