n object whose mass is 520 g is fastened to the end of a horizontal spring whose spring constant is 78 N/m. The object is pulled 5.0 cm from equilibrium and released. Assume no friction between the object and the floor. (a) What is the angular frequency and the period of oscillation? (b) Write the specific equation of motion for this oscillating system, in the form x(t) = A cos(ωt + Ф)
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An object whose mass is 520 g is fastened to the end of a horizontal spring whose spring constant is 78 N/m. The object is pulled 5.0 cm from equilibrium and released. Assume no friction between the object and the floor.
(a) What is the angular frequency and the period of oscillation?
(b) Write the specific equation of motion for this oscillating system, in the form x(t) = A cos(ωt + Ф)
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- You have made a physical pendulum by swinging a rod of mass M = 0.61 kg and length L = 0.86 meters around its end. The mass of the rod is distributed uniformly along its length. We will assume that the amplitude of the swing is max = 14.67 degrees. Solid Rod Swings in Simple Harmonic Motion Ө=-0max Determine all the following: 0=+0₁ max The FORMULA for the moment of inertia of your rod, I = The distance from the pivot point to the Center-Of-Mass, d = The angular frequency of the pendulum, w = The amplitude of the motion in radians, 8max = The angular velocity when 0 = 65% of full swing, w(0 = 0.65 0max) NOTE: The first question requires a FORMULA, not a value. rad/sec radians = meters rad/secDetermine the conditions under which mechanical energy is conserved in a pendulum. Consider a situation in which a pendulum made from a wooden sphere. The mass of the pendulum is 100 g and the length 1 m. If it is hanging on the ceiling of a room, it is made to oscillate. What, if anything, is the mechanical energy of the pendulum conserved? Make the argument grounded in physics.In the figure provided, two boxes oscillate on a frictionless surface. The coefficient of static friction between the two boxes is 0.440 and the spring constant in the spring is 54.5 N/m. If the smaller box has a mass of 3.51 kg and the larger box has a mass of 8.47 kg, what is the maximum oscillation amplitude for which the 3.51 kg box does not slip?
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