Answer:
On the standing waves on a string, the first antinode is one-fourth of a wavelength away from the end. This means

This means that the relation between the wavelength and the length of the string is

By definition, this standing wave is at the third harmonic, n = 3.
Furthermore, the standing wave equation is as follows:

The bead is placed on x = 0.138 m. The maximum velocity is where the derivative of the velocity function equals to zero.


For this equation to be equal to zero, sin(59.94t) = 0. So,

This is the time when the velocity is maximum. So, the maximum velocity can be found by plugging this time into the velocity function:

Answer:
The value of Cpk is 0.83.
Explanation:
Given that,
Upper specification limits = 10 cm
lower specification limits = 8 cm
Mean = 9.5
Standard deviation = 0.2 cm
We need to calculate the process capability
Using formula of Cpk

Put the value into the formula



Hence, The value of Cpk is 0.83.
A) Tolerance
Tolerance is developed after using a drug repeatedly, so the body adapts to it. Because of that, people who develop a tolerance would then need to use more of that drug to get the same effect.