The period of oscillation of a spring-and-mass system is 0.600 s and the amplitude is 4.97 cm. What is the magnitude of the acceleration at the point of maximum extension of the spring?

A 0.500-kg mass is suspended from a string, forming a pendulum. The period of this pendulum is 3.65 s when the amplitude is 1.00 cm. The mass of the pendulum is now reduced to 0.250 kg. What is the period of oscillation now, when the amplitude is 2.00 cm?

Determine the conditions under which mechanical energy is conserved in a pendulum. Consider a situation in which a pendulum made from a wooden sphere. The mass of the pendulum is 100 g and the length 1 m. If it is hanging on the ceiling of a room, it is made to oscillate. What, if anything, is the mechanical energy of the pendulum conserved? Make the argument grounded in physics.

A ball with a mass of 240 g is tied to a light string that has a length of 2.80 m. The end of the string is tied to a hook, and the ball hangs motionless below the hook. Keeping the string taut, you move the ball back and up until it is a vertical distance of 1.08 m above its equilibrium point. You then release the ball from rest, and it oscillates back and forth, pendulum style. As usual, we will neglect air resistance. Use g = 9.80 m/s2. (a) What is the highest speed the ball achieves in its subsequent motion? m/s (b) What is the maximum height the ball reaches in its subsequent motion (measured from its equilibrium position)? (c) When the ball passes through the equilibrium point for the first time, what is the magnitude of the tension in the string? N