Which of the following is a true statement regarding springs? In Hooke's Law, the force exerted by the spring acts in the same direction as displacement. Hooke’s law holds up to the elastic limit of the spring The force exerted by a spring has a quadratic relationship with the displacement from equilibrium Springs are designed to provide unpredictable variations in force The smaller the value of the spring constant, the stiffer the spring.
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.
Which of the following is a true statement regarding springs?
- In Hooke's Law, the force exerted by the spring acts in the same direction as displacement.
- Hooke’s law holds up to the elastic limit of the spring
- The force exerted by a spring has a quadratic relationship with the displacement from equilibrium
- Springs are designed to provide unpredictable variations in force
- The smaller the value of the spring constant, the stiffer the spring.
For a spring-powered candy dispenser, which of the statements correctly expresses the relationship of the candy’s speed to the compression of the spring?
- The speed is proportional to the square root of the compression distance of the spring
- The speed is directly proportional to the compression distance of the spring
- The speed is inversely proportional to the compression distance of the spring
- The speed is proportional to the square of the compression distance of the spring
- None of these statements are correct
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