Example 13-12 depicts the following secnario. A 0.930 kg block slides on a frictionless, horizontal surface with a speed of 1.34 m/s. The block encounters an unstretched spring with a force constant of 205 N/m, as shown in the sketch. Before the block comes to rest,, the spring is compressed by 9.03 cm. wwwwmwww 71 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.
Part A: Suppose the force constant of the spring is doubled, but the mass and speed of the block remain the same. By what multiplicative factor do you expect the maximum compression of the spring to change?
Part B: Find the new maximum compression of the spring.
Part C: Find the time required for the mass to come to rest after contacting the spring
Part D: Refer back to Example 13-12. If the block's initial speed is increased, does the total time the block is in contact with the spring increase, decrease, or stay the same?
Part E: Find the total time of contact for v0=1.65 m/s, m=0.980 kg, and k=245 N/m.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
