The initial position, velocity, and acceleration of an object moving in simple harmonic motion are x, v, and a; the angular frequency of oscillation is w. (a) Show that the posi- tion and velocity of the object for all time can be written as x(t) = x, cos wt + sin ot v(1) = -xw sin ot + v,cos ot (b) Using A to represent the amplitude of the motion, show that z2 – ax = v? – ax, = w²A?

I need the answer as soon as possible

Your answer is partially correct. A particle with a mass of 1.7 x 10-20 kg is oscillating with simple harmonic motion with a period of 4.9 × 10-5 s and a maximum speed of 1.3 x 10° m/s. Calculate (a) the angular frequency and (b) the maximum displacement of the particle. (a) Number 129000 Units rad (b) Number i 0.01 Units m Save for Later Attempts: 1 of 3 used Submit Answer

Hrlp

For a simple harmonic oscillator with x = A sin ot write down an expression for the velocity. Please use II* II 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 w, use omega. Please use the "Display response" button to check you entered the answer you expect.

For a simple harmonic oscillator with x=Asinωtx=Asin⁡ωt 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.

The position with time of an object is given byx(t)=Acos(ωt)If the amplitude is 1.37 m, and the frequency is 2.9 Hz, what is the object's acceleration at 15.13 seconds?

In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, 6"max, to the maximum angular velocity, 6'max, is TI s*(-1). What is the time needed for the pendulum to complete one-half oscillation? O 0.25 sec )0.5 sec O4 sec ) 1 sec A block-spring system has a maximum restoring force Fmax = 01N Fthe O O O O O

An 9-kg mass is attached to a spring hanging from the ceiling and allowed to come to rest. Assume that the spring constant is 20 N/m and the damping constant is 4 N-sec/m. At time t= 0, an external force of 8 sin 2t cos 2t is applied to the system. Determine the amplitude and frequency of the steady-state solution. The amplitude is (Type an integer or a decimal. Round to four decimal places as needed.)

MärkxsfH) Problem 1: A mass of 20 grams stretches a spring by 10/169 meters. (a) Find the spring constant k, the angular frequency w, as well as the period T and frequency f of free undamped motion for this spring-mass system. (b) Find the general solution x(t) of the DE for the free spring-mass system. (c) Suppose that an exterior force of F(t) = 2.5 sin(12t) in Newtons acts on the spring-mass system. Find the equation of motion (the solution x(t)) of the system if the mass initially is at rest in its equilibrium position.