asap please do all steps A mass of 70.0 g on a spring moves horizontally in simple harmonic motion with an amplitude of 2.60 cm. It makes 10 oscillations in 4.00 seconds. Assume +x is to the right and there is no friction. a)What is the angular frequency? (rad/s) b)The mass is at position x=0 at t=0. Just after t=0, the mass moves to the LEFT. Write an equation for x(t) in units of cm. The equation should have all numerical values except for the variable t. x(t)=? c)Graph x vs t for exactly ONE complete period, from t= 0 to T. (T= the period). Label maximum and minimum values of displacement. Label the numerical values of time (in seconds) for t=T/2 and T.
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
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A mass of 70.0 g on a spring moves horizontally in simple harmonic motion with an amplitude of 2.60 cm. It makes 10 oscillations in 4.00 seconds. Assume +x is to the right and there is no friction.
a)What is the angular frequency? (rad/s)
b)The mass is at position x=0 at t=0. Just after t=0, the mass moves to the LEFT. Write an equation for x(t) in units of cm. The equation should have all numerical values except for the variable t. x(t)=?
c)Graph x vs t for exactly ONE complete period, from t= 0 to T. (T= the period). Label maximum and minimum values of displacement. Label the numerical values of time (in seconds) for t=T/2 and T.
d) What is the maximum speed? (cm/s)
e) What is the spring constant k? (in N/m; make sure units are correct)
f) What is the first time after t=0 that the speed equals half its maximum speed? (s)
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