Question

12/12 polnts 1 Previas Answers 0SCuPy2016 18.WA042 Tulorial A mass m associated reference circle at some time alter its relcase. The reference circle has a radius A, and the particde travelng on the reference cincle has 1.77 kg is attached to a spring of force constant k46.9 N/m and set nto oscilation on a horiaontal fictionnless surface ty stretching an amount A 011m trom as equitrium position and then releasing R constant counterclockwise angular speed d, constant tangential speed a e (a) Determine the following maximum speed of the oscillating mass 9.56823 magnitude of the masimum acceleration of the oscilating mass 2915 magnitude of the maximum force experienced by the oscillating mass 1501 maximum kinetic energyY of the osclating mass 283748 masimum elestic potential energe 0.283745 of the spring attached to the mass

Answer 1

A= 0.11m

K= 46.9N/m

M= 1.77kg

Angular speed = (K/M)^1/2= 5.1Rad/sec

Max. Speed= Aw= 0.11x 5.1= 0.566m/S

Max acceleration = w^2A= 5.1x 5.1 x 0.11= 2.9m/sec^2

Max.force = mass x acceleration = 1.77x 2.9= 5.158N

Max. Kinetic energy = 1/2mv^2 = 0.5x 1.77 x 0.566x 0.566=0.28J

Max . Potential energy = 1/2kA^2= 0.5 x 46.9 x0.11x 0.11= 0.283J