It is weigh-in time for the local under 85 kg rugby team. The bathroom scale used to assess eligibility can be described by Hooke’s law, and is depressed 0.85 cm by its maximum load of 115 kg. Randomized Variables m = 115 kgd1 = 0.85 cm d2 = 0.52 cm a) What is the spring's effective spring constant in N/m? b) A player stands on the scales and depresses it by 0.52 cm. What is his mass is kg?
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.
1) It is weigh-in time for the local under 85 kg rugby team. The bathroom scale used to assess eligibility can be described by Hooke’s law, and is depressed 0.85 cm by its maximum load of 115 kg.
Randomized Variables
m = 115
kgd1 = 0.85 cm
d2 = 0.52 cm
a) What is the spring's effective spring constant in N/m?
b) A player stands on the scales and depresses it by 0.52 cm. What is his mass is kg?
Given
Maximum mass is given as .
The spring is depressed by for this maximum load.
Required
a) Spring constant.
b) Mass of the player when the scale depresses by
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