Question

All changes saved A Point of Release Equilibrium Position - Equilibrium- Position Point of A sphere of mass mi, which is attached to a spring, is displaced downward from its equilibrium position as shown above left and released from rest. A sphere of mass m2, which is suspended from a string of length I, is displaced to the right as shown above right and released from rest so that it swings as a simple pendulum with small amplitude. Assume that both spheres undergo simple harmonic motion Which of the following is true for both spheres? a. The maximum kinetic energy is attained as the sphere passes through its equilibrium position. b. The maximum kinetic energy is attained as the sphere reaches its point of release. c. The minimum gravitational potential energy is attained as the sphere passes through its equilibrium position. d. The maximum gravitational potential energy is attained when the sphere reaches its point of release. e. The maximum total energy is attained only as the sphere passes through its equilibrium position. OOO OO

     

Answer 1

as per HOMEWORKLIB RULES I'm only supposed to answer for the first question if you want answers for rest post them separately

1.both masses will have maximum kinetic energy at equilibrium and maximum potential energy at extremes and total energies are constant everywhere

so a is true)

2. im also doing the second one

if time periods are same the angular

angular frequencies will be of the same

so square root(k/m1)= square root(g/l)

so k/m1 =g/l

k=m1g/l