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Physics - Pendulum - Problems with Solutions and Tutorials

pendulum

A pendulum is 90 cm long. The speed of the bob is 150 cm/s as it passes through its lowest position. What is the maximum height the bob will rise to? At that height, what is the angle the pendulum makes with the vertical?

Answer: ymax = 0.11m, theta_max = 29 degrees

Solver Input: L=90cm,vmax=150cm/s,ymax=?,theta_max=?

Tutorial video:

pendulum

Question with absolute coordinates: a snapshot of a swinging 69 cm long pendulum reveals that it is at an angle of 15 degrees to the vertical. What are its x, y coordinates? What is the length of the arc it makes to the origin?

Question with relative coordinates: a swinging 69 cm long pendulum swings through 15 degrees. What horizontal and vertical distance did it swing through? What is the distance of the arc that it swung through?

Answer: dx = 0.179m, dy = 0.0235m, darc = 0.181m

Solver Input: L=69cm,dtheta=15,dx=?,dy=?,darc=?

Tutorial video:

pendulum

A pendulum swings at one Hertz. How long is the pendulum in centimeters?

Answer: 24.8 cm

Solver Input: f=1,L=?cm

Tutorial video: