A mass m performs SHM with maximum amplitude period T = 10 s. At time t = 1.5 s the mass is in position x = 34.8 mm and its velocity is v = 0.3 m s-1.
(a) Calculate:
1-The amplitude of the oscillation.
2-The angular velocity.
3-The phase at t = 0 s.
(b) What is the function of the acceleration with time?
c) If the phase is zero then calculate the time that the mass is at positions larger than 10 cm.
A mass m performs SHM with maximum amplitude period T = 10 s. At time t...
A 200 g mass is attached to a
horizontal spring and executes SHM making one oscillation every 2.0
seconds. At a certain time the block is at x=0.20 m and is moving
with a velocity of -0.36 m/s. Determine: a. The spring constant of
the spring b. The amplitude of oscillation c. The velocity of the
mass when the mass is 1.5 cm from the equilibrium point
Hw #2 due Tuesday Jan 15 A 200 g mass is attached to...
5. Given an equation of a 1.5 kg mass in SHM V=2.50 cos (0.25 t) , m/s Find a) the units on the values 2.50 and 0.25 b) the amplitude, angular frequency, frequency and period of this oscillation c) the displacement and the acceleration at t=2.00 seconds d) the stiffness of the spring supporting this oscillating mass
5. Given an equation of a 1.5 kg mass in SHM v 2.50 cos (0.25 t) , m/s Find a) the units on the values 2.50 and 0.25 b) the amplitude, angular frequency, frequency and period of this oscillation c) the displacement and the acceleration at t 2.00 seconds d) the stiffness of the spring supporting this oscillating mass =
A mass on a spring in SHM has amplitude A and period T. At what position in oscillatory motion is the velocity zero? a) x = 0 b) 0<x<A c) x = A d) x < 0 e) x > 0 f) none of the above
A mass m = 3 kg is attached to a spring with spring constant k = 3 N/m and oscillates with simple harmonic motion along the x-axis with an amplitude A = 0.10 m. (a) What is the angular frequency of this oscillation? (b) What is the period T and the frequency f of the oscillation? (c) If the phase constant = 0, write down expressions for the displacement, velocity and acceleration of the mass as a function...
At a time of 3.00 x 102 s after starting its SHM from maximum displacement, a mass on a spring has a displacement that is +2.45 cm from the equilibrium position. If the frequency of the SHM is 2.82 Hz, what is the amplitude of the SHM? cm
A 0.3 kg horizontal mass-spring system undergoes SHM. The period is 0.60 s. When the mass passes its equilibrium position it has a speed of 1.5 m/s. Assuming the surface is frictionless, what is the total mechanical energy and the amplitude of the system?
In-Class Assignment 2. The figure shows a position-versus-time graph for an oscillating mass m = 0.5 kg. x (cm) 20 10 0 -10 -20 I(s) 4 a. Determine the period of the motion. b. Determnine the angular frecquemcy of the motion c. Determine the amplitude of the motion. d. Determine the phase constant of the motion. e. Determine the maximum speed of the mass. f. Determine the maximum acceleration of the mass. g. Determine the total energy of the system....
you are trying to obtain the maximum amplitude oscillation of a mass attached to a spring on a level surface (as in Fig 14-10). you pull the spring 0.1 m [right of the equailibrum position] and give it a has an initial velocity of 1 m/s [right] (i.e, move away from the equailibrum position). you measure the resulting amplitude of oscillation. you reset the mass at 0.1m [right] but this time give it a push so it has intial velocity...
Damped SHM motion A mass M is suspended from a spring and oscillates with a period of 0.980 s. Each complete oscillation results in an amplitude reduction of a factor of 0.985 due to a small velocity dependent frictional effect. Calculate the time it takes for the total energy of the oscillator to decrease to 45% of its initial value. Submit Answer Incorrect. Tries 3/6 Previous Tries