Question

Please draw FBD. I need explanations in details to help me understand which kind of energy exists in each states. Thanks

15.55 The system is released from rest with the spring unstretched. The spring constant is k 200 N/m. What maximum downward velocity does the right mass attain as it falls? 4 kg 20 kg Problems 15.54/15.55

Answer 1

The system will have to maximum speed, when spring elongates to its equilibrium position when its elongation �x� is calculated as kx = (4 kg + 20 kg) times g = > x = 24 times 9.8/200 = 1.176 m Now, Let �V� be the speed of both blocks. Applying Conservation of Energy 20 Kg times g times x - 4 kg times g times x = 1/2 K x^2 + 1/2 (4 + 20) v^2 = > 16 times 9.8 times 1.176 = 1/2 times 200 times (1.176)^2 + 12 times V^2 = > V = 1.96 m/s Answer