Question

24. A spring that can be assumed to be ideal hangs from a stand, as shown above. (a) You wish to determine experimentally the spring constant k of the spring ii. What measurements would you make? ili. How would & be determined from these measurements? Assume that the spring constant is determined to be 500 N/m. A 2.0-kg mass is attached to the lower end of the spring and released from rest. mass. Suppose that the spring is now used in a spring scale that is limited to a maximum value of 25 N, but you would like to weigh an object of mass M that weighs more than 25 N. You must use commonly (b) Determine the frequency of oscillation of the (e) available equipment and the spring scale to determine the weight of the object without breaking the scale. i. Draw a clear diagram that shows one way that the equipment you choose could be used with the spring scale to determine the weight of the object. Explain how you would make the determination. ii.

Answer 1

(a) we need an additional mass to be hanged from the spring. The spring will be extended under the weight of hanging mass. We can measure the distance by which spring has extebded. Then we can use the following equation to find spring constant.

F = Kx

Where F = mg

So,

k = mg/x

(b) T = 2*pi sqrt (m/k)

T = 0.3974 sec

So,

f = 1/T

f = 2.5165 Hz

(C) we can use slope method.

So, place weight on slope the

We will use componenet method where

Wx = Wsin(theta)