What is the general relationship between mass and the elongation of the spring?

4. Under certain conditions, wind blowing past a rectangular speed limit sign can cause the sign to oscillate with a frequency w (see Fig.). Assume that w is a function of the sign width, b; sign height, h; wind velocity, V; air density, p; and an elastic constant, k, for the supporting pole. The constant, k, has dimensions of Nm. (a) Develop a suitable set of pi terms for this problem using b, V, and p as repeating variables. (b) List all the other possible combinations of repeating variables that could have been utilized for this problem. SPEED LIMIT 40

(Question 111) Answer step to step the following question: A bottle floating with the neck up in a bucket having water, as in the figure below. In the equilibrium position it is submerged with a depth of d0, starting from the surface water level. Show that, if it is pushed to a depth d then released, it will perform an simple harmonic movement and determine its frequency of oscillation. If d0 = 20 cm, what is the period of the oscillations? Justify your answer.

A sample of a new plastic 100 cm in length 1.0 cm in width, and 0.1 cm in thickness was subjected to a force of 20 If it is stretched to 100.1 cm long, what is its Young’s modulus in psi unit? (1 psi = 6895 N/m2)