Question

Consider a spring hung vertically from the ceiling. (a) When a 0.25kg block is attached to the spring, the spring is stretched 0.05m. What is the force constant of the spring? (b) What is the angular frequency for the simple harmonic motion of the block if you pull it down 5cm and release it? How does this compare to the angular frequency if you pull it down 10cm? (c) Taking upward to be positive, and the equilibrium position to be x = 0, write an equation of motion for the oscillation, x(t) =?, for the motion of the block in the situation where you pull it down 5cm letting t = 0 be the instant you let go of the block. (d) If the amplitude of an object in SHM is doubled, how would it affect the energy and maximum speed? (e) In lab we found that if a uniform spring is cut in half, the spring constant of each half would be twice as large as for the original spring. Give a brief explanation of why this is the case, and what affect this would have on the angular frequency

Answer 1