Question

In these Follow-Up Discussions Prompts, your response should include your answer to the question as well as a brief narrative that describes what evidence you used to arrive at your answer.(i.e. I think will happen because Whenever possible, use evidence/observations from this week's activities in your explanations. For example, for this prompt, explanations such as "I think it will definitely change, but I'm not entirely sure how, activity __has me leaning towards increase, but in activity we saw which has me thinking it might decrease." are worth more credit than: "It will increase" k woord M. A mass-spring system consists of an ideal spring that can compress and stretch equally well. The spring has spring constant k and un-stretched length L. The spring is connected to a cart of mass M which can roll freely on a horizontal surface. If the cart is pulled to one side a small distance and released, it will oscillate back and forth with amplitude A and frequency f. Identify how each change described below will affect the frequency of the oscillating mass-spring system as compared to the case above.

Answer 1

angular for a spring the frequency mass system is given by w of orillation anel prequency is giren by f 1 k ZR which clearly depends only of boo cart and the spring On man Com tomt of spring as sm (as f Sk 3 m1 ft f a k1 - f if is inclependent of amplitude bota Î and man (k~2k) and (mm) ( mm) —> frow Amolitude مه - ZR ak mh Sk 2R 2 f p.e. frequency is Cloubled