A particle performs a linear S.H.M. Its velocity is 3 cm/s when it is at 4 cm from the mean position and 4 cm/s when it is at 3 cm from the mean position. Find the amplitude and the period of S.H.M.
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- The position with time of an object is given by x(t)=Acos(ωt)If the amplitude is 1.52 m, and the frequency is 1.4 Hz, what is the object's velocity at 16.25 seconds?A particle undergoes simple harmonic motion with angular velocity of 3.0 rad/s and amplitude of 0.5 m. It starts with maximum forward displacement at time t = 0. Find the velocity at time t = 2.0 s(a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.) (b)Write an equation that represents the curve in the form
- A piston in a gasoline engine oscillates with simple harmonic motion. The displacement of the piston varies according to x(t) = (6.00 cm) cos (2t + ), where x is in cm and t is in seconds. At t= 0, find: i) the position of the particle, ii) its velocity, iii) its acceleration, iv) the period, and v) the amplitude.A small steel ball is hanging by a light thread from the ceiling. The steel ball is then displaced 5.0 cm and makes 32 oscillations in exactly 50 s. Determine the period, T, angular frequency, w, and then write the motion of the steel ball as a function of time, t.Let the spring have a mass of 191.3 +/- 01g. A 75+/- 01 g mass is attached to the spring. The mass is displaced 1/2 inch and released from rest. After fitting the position data with a sine fit, the position amplitude is found to be 0.0146+/- 0.0003 M. A) calculate the angular frequency of the mass (with uncertainty) b) Determine the amplitude of the velocity of the mass (with uncertainty) c) Find the amplitude of the acceleration (with uncertainty)
- The function: y = 6.0 m * cos (5.0 rad/s * t + 1.0 rad) describes the simple harmonic motion for a system. What is the amplitude: m What is the is the angular velocity: rad/s What is the phase constant: rad What is the displacement from equilibrium at t = 3.0 s: m (make sure your calculator is in radian mode)7. A spring with a spring constant of 55 N/m² is set up horizontally on a frictionless surface with a 3.5 kg mass attached to the spring. If the mass is stretched 0.125 m from equilibrium and released from rest then determine the following:The position with time of an object is given byx(t)=Acos(ωt)If the amplitude is 1.37 m, and the frequency is 2.9 Hz, what is the object's acceleration at 15.13 seconds?