A 0.5 kg mass is hung on a vertical massless spring. The new equilibrium position of the spring is found to be 3 cm below the equilibrium position of the spring without the mass. a) What is the spring constant, k ? b) Show that the mass and spring system oscillates with simple harmonic motion about the new equilibrium position.
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- (b) Calculate the maximum value of its acceleration. cm/s2 A 0.600-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 11.8 cm. (Assume the position of the object is at the origin at t = 0.) (a) Calculate the maximum value of its speed. cm/s (c) Calculate the value of its speed when the object is 9.80 cm from the equilibrium position. cm/s (d) Calculate the value of its acceleration when the object is 9.80 cm from the equilibrium position. cm/s² MY NOTES (e) Calculate the time interval required for the object to move from x = 0 to x = 5.80 cm. PRACTICE ANOA 0.500 kg cart is attached to a light spring with a spring constant of 20.0 N/m. If the cart is displaced 3.00 cm from the equilibrium position and released, calculate a) the period of vibration, and b) the velocity when the cart is 2.00 cm from the equilibrium position.for what mass will the horizontal, frictionless, mass-spring harmonic oscillator system have a frequancy of 2.0 Hz? assume a spring constant of 9.8 N/m
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