Hooke’s Law Period of oscillators

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Presentation transcript:

Hooke’s Law Period of oscillators SHM Hooke’s Law Period of oscillators

Hooke’s Law Problems A spring stretches 0.150 m when 0.300 kg hangs from it. Find the spring constant. The force constant of a spring is 48.0 N/m. It has a 0.25 kg mass suspended from it. What is the extension of the spring?

Elastic Energy Problems Find the elastic potential energy of a spring (k = 160 N/m) compressed 8.0 cm. A 0.50 kg hockey puck slides at 15.0 m/s. It hits a spring loaded bumper (k = 360 N/m); how much does the bumper spring compress at maximum compression?

Hooke’s Law Big Problem When a family of 4 with a total mass of 200.0 kg steps into a 1200.0 kg car, the car's springs compress 3.0 cm. a) What is k (assume the 4 springs act as a single spring.) b) How far will the car lower if loaded with 300.0 kg instead?

Period of a Pendulum A geologist’s simple pendulum has a length of 35.0 cm. If the gravitational acceleration is 9.62 m/s2 where she is, what frequency will be observed with the oscillating pendulum?

SHM Problem Extraordinaire A spring stretches 0.150 m when 0.300 kg hangs from it. The mass is then pulled an additional 0.100 m from this equilibrium point and released to oscillate in SHM. a) Find the spring constant b) Find the amplitude of oscillation c) Find the maximum velocity d) Find the velocity when the mass is 0.050 m from the equilibrium point e) Find the maximum acceleration of the mass

Text work Giancoli – Pg 321 MisQ #1,2 Pg 322 #1, 3, 11, 16, 19, 20