1. A box of mass 500 g is attached to a spring whose spring constant is 60 /m: The box is then pulled 10 cm from its equilibrium position at x = 0 on a frictionless surface and released from rest at t = 0. What is the displacement function x(t)?

A Mass is attached to a spring and set to oscillate horizontally on a frictionless surface. Spring constant= 5 N/m The mass of the object oscillating is 1 kg. If the spring is stretched to a distance of 12 cm, what is the maximum Energy in the system? What is the Velocity of the mass at a point halfway between the maximum stretch distance and the equilibrium point?

Round to two decimal places if necessary. A spring is stretched 5 centimeters by a 15 N weight. The weight is then pulled down an additional 8 centimeters and released. Neglect damping. Find the function u(t) for the position of the spring at any time t. u(t) =

Problem 11: A small block of mass M= 350 g is placed on top of a larger block of mass 3M which is placed on a level frictionless surface and is attached to a horizontal spring of spring constant k = 1.9 N/m. The coefficient of static friction between the blocks is μ =0.2. The lower block is pulled until the attached spring is stretched a distance D = 2.5 cm and released. Randomized Variables M = 350 g D = 2.5 cm k = 1.9 N/m Part (a) Assuming the blocks are stuck together, what is the maximum magnitude of acceleration amax of the blocks in terms of the variables in the problem statement? amax = k D/(3 M+M ) ✓ Correct! Part (b) Calculate a value for the magnitude of the maximum acceleration amax of the blocks in m/s². ✓ Correct! | @mar= 0.03390 Part (c) Write an equation for the largest spring constant kmax for which the upper block does not slip. Kmax = μ (M +M) g/kl