A small mass is undergoing simple harmonic motion (SHM) along the x-axis, with the motion centred around the point x = 0. The motion has amplitude 24.2 mm and frequency 78.0 Hz. If at time t = 0, the mass is instantaneously located at x = 0 and moving to the left (towards the negative x values), at what value of x (in mm) will it be at time t = 49.41 s?
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.
A small mass is undergoing
A uniform 1.5-kg rod that is 1.7 m long is suspended at rest from the ceiling by two springs, one at each end. Both springs hang straight down from the ceiling. The springs have identical lengths when they are unstretched. Their spring constants are 36.4 N/m and 71.4 N/m. Find the angle (in degrees) that the rod makes with the horizontal.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 15 images
