Determine the equivalent spring constant of the system where the spring will be located in the position of k1. k1=1N/m, k2=5N/m (answer in N/m) * Sphere, mass m, No slip Bell crank lever,- mass moment of 90° inertia Jo

Can you please show the complete solution and free body diagram of the image below. Thanks! Subject: Mechanical Vibration

4. A student followed strictly correct procedure in the lab during the experiment of moment of inertia. He measured the mass and diameter of plastic cylinder with value of m = 0.36 kg and D = 0.1 m. The period of system without plastic cylinder is To = 0.667 s. The period of system with plastic cylinder T₁ = 0.92 s. Find: The spring constant K of the system. If a metallic cylinder and a plastic cylinder have same diameter and same thickness, which one has larger moment of inertia? Explain.

or 5, 2. You have a massless spring of force constant 64 N/m, but it is wound tightly enough that you must apply 16 N of force to it before it begins to stretch. You attach a 12 kg mass to one end of the spring. The other end is fixed in place above the mass (e.g. it is clamped to the room's ceiling). A second mass of 1.0 kg is connected to the bottom of this first mass via a thin string of negligible mass. The system is initially in equilibrium, but then the string connecting the smaller mass suddenly snaps. 2.1 What is the initial acceleration of the spring-mass system? 2.2. What is the amplitude of oscillation for this system? 2.3 What would be the period of oscillation for this system? 2.4 Determine the maximum value of the kinetic energy of the mass still connected to the spring. Assume negligible damping.