The following question concerns the trolley shown in figure 2 below. Figure 2 |||||| A trolley oscillates with simple harmonic motion on a frictionless horizontal surfac forces in the two springs. The displacement from the equilibrium position in metres t is given by the equation: x = 0.22 sin(0.8nt) (a) What is the amplitude of the motion? (b) Calculate the frequency of oscillation of the trolley. (c) Calculate the displacement after 1.6 s.
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- Given a horizontal spring, an object with a mass of 5 kg is pulled to the right 15 cm to the right. (Observation was made that during 8 seconds 12 oscialtions occured druing the trial). Find the postion and velocity after 1-second. Use equation: x(t) = Acos(wt +phi) where A is max amplitude w is angular frequency t is time and phi is phaseRefer to attached.A spring is attached to the ceiling and pulled 12 cm down from equilibrium and released. The amplitude decreases by 10% each second. The spring oscillates 18 times each second. Find an equation for the distance, D the end of the spring is below equilibrium in terms of seconds, t.
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- For a simple harmonic oscillator with x=Asinωtx=Asinωt write down an expression for the velocity. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For trigonometric functions use the usual sin and cos, while for Greek letters such as ωω, use omega.A block of mass m = 1 kg is attached a spring of force constant k = 500 N/m as shown in the figure below.The block is pulled to a position x = 10 cm to the right of equilibrium and released from rest. The horizontalsurface is frictionless.(a) What’s the period of block’s oscillation? (b) Find the speed of the block as it passes through the equilibrium point x = 0. (c) Please represent block’s motion with the displacement vs. time function x(t) and draw the motiongraph x(t) for at least one periodic cycle. Note, please mark the amplitude and period in the motiongraph. Assume the clock starts from when the block is just released. (d) Please find out the block’s velocity and acceleration at t = 0.14s.