spring hangs vertically from a hook with a length of 35.0 cm. A 750-g mass is the nhung from the spring. At rest, the mass causes the spring to stretch to a total length of 47.0cm. 1. Calculate the spring constant, k. 2. Next, the spring is placed horizontally on a frictionless table with one end held at rest. A 750-g mass isattached to the free end. The mass is pulled so the spring is stretched x = 15.0 cm and then released so the mass begins to oscillate. How fast will the mass be moving when it goes through the equilibrium point (x=0)? 3. Finally, the spring is placed horizontally on a rough table with one held at rest. The coefficient of friction between the mass and table is 0.100. A 750-g mass is attached to the free end. The mass is pulled so the spring is stretched x = 15.0 cm and the released so the mass begins to oscillate. How fast will the mass be moving when it goes through the equilibrium point (x=0)?
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 spring hangs vertically from a hook with a length of 35.0 cm. A 750-g mass is the nhung from the spring. At rest, the mass causes the spring to stretch to a total length of 47.0cm.
1. Calculate the spring constant, k.
2. Next, the spring is placed horizontally on a frictionless table with one end held at rest. A 750-g mass isattached to the free end. The mass is pulled so the spring is stretched x = 15.0 cm and then released so the mass begins to oscillate. How fast will the mass be moving when it goes through the equilibrium point (x=0)?
3. Finally, the spring is placed horizontally on a rough table with one held at rest. The coefficient of friction between the mass and table is 0.100. A 750-g mass is attached to the free end. The mass is pulled so the spring is stretched x = 15.0 cm and the released so the mass begins to oscillate. How fast will the mass be moving when it goes through the equilibrium point (x=0)?
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