A spring is pulled to 12 cm and held in place with a force of 450 N. what is the spring constant of the spring? How much force is required compress back the spring to 2 cm?
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. A spring is pulled to 12 cm and held in place with a force of 450 N. what is the spring
constant of the spring? How much force is required compress back the spring to 2 cm?
2. A 5cm2cord has original length of 120cm is pulled by a 20N force. The change in length
in the cord is 5mm. find the strain, stress and elastic modulus.
3. A string has a diameter of 1cm and original length of 200 cm. the string is pulled by a
force 2kN. Determine the change in length of the string given that the young’s modulus
of string is 7.5GPa
4. A material is 250 cm long, 8 cm wide and 10 cm deep. The material is subjected to an
axial force of 4500kN resulting to an expansion of 3cm. calculate for stress, strain, and the
young’s modulus of elasticity for the material
5. An object has a Young’s modulus of elasticity of 14.5Gpa. determine the stress and strain
experienced by the object if it is 200cm by 200cm x 200cm and elongates by 5cm. what
is the magnitude of the force that acts on the object?
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