When a mass is attached to a vertical spring, the spring is stretched a distance d. The mass is then pulled clown from this position and released. It undergoes 45 oscillations in 3?.0 s. What was the distance d? E Shown in the figure are four different pendulums: M, pendulum (a): a rod has a mass M and length L; pendulum (b): a rod has a mass 2M and length _; pendulum (c): a mass M is attached to a massless string of a length ; and pendulum (d): a mass M is attached to a massless string of length 1/2L. M, 2M, L L M, Assume that each pendulum is pulled 19.30 to the right and then released. Find the correct L period for each pendulum: A 2 1 121/3g B 2 1 VI /g (a) (b) ( c) (d) CanVL/ 29 pendulum (a) pendulum (b) pendulum (d) v pendulum (c)The mass m = 10.5 kg shown in the figure is displaced a distance x = 0.113 m to the right K1 K2 from its equilibrium position. Kj = 101 N/m and K2 = 225 N/m. W a) What is the net force acting on the mass (enter first) and what is the effective spring constant? m Submit Answer Tries 0/99 b) What will the frequency of the oscillation be when the mass is released? Submit Answer Tries 0/99 c) What is the total energy of the mass-spring system after the mass is released? Submit Answer Tries 0/99 d) What is the maximum velocity of the mass? Submit Answer Tries 0/99A Foucault pendulum is designed to demonstrate the effect of the Earth's rotation. A Foucault pendulum displayed in a museum is typically quite long, making the effect easier to see. Consider a Foucault pendulum of length 15.9 m with a 115-kg brass bob. It is set to swing with an amplitude of 3.650. a) What is the period of the pendulum? Submit Answer Tries 0/99 b) What is the maximum kinetic energy of the pendulum? Submit Answer Tries 0/99 c) What is the maximum speed of the pendulum? Submit Answer Tries 0/99A block with mass 1.623 kg sliding on a frictionless surface is attached to a horizontal spring with spring constant 25.27 N/m at the equilibrium position of the spring. The block is then pulled a distance 19.43 cm from the equilibrium point and released from rest. What is the distance of the block from the equilibrium point after 1.337x10" s? Submit Answer Tries 0/99A pendulum consisting of a small sphere with mass 1.255 kg suspended by a string of length 73.17 cm is hanging from the ceiling. Its motion is restricted by a peg that is sticking out of the wall 39.41 cm directly below the pivot point. What is the period of oscillation? Submit Answer Tries 0/99Consider a vertical spring with spring constant 20.41 N/m hanging from the ceiling. A small object with a mass of 1.069 kg is added to the spring and the spring stretches to its equilibrium position. The object is then pulled down a distance of 14.77 cm and released. What is the speed of the object a distance 8.795 cm from the equilibrium point? Submit Answer Tries 0/99