A string with a length of 1.65 m is fixed at both ends. It is then allowed to oscillate transversely such that there are 1 nodes between the ends, with an amplitude of 16.6 cm. What is the maximum transverse displacement of the string 0.967 m from one end? Please give answer in units of cm.

A body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x = 5.0 sin (rt + t/3). The velocity (in m/s) of the body at t = 1.0 s is О -14 +8.0 -8.0 O +14 О-5.0

The position of a particle is given by the expression x = 2.00 cos (2.00nt + π/4), where x is in meters and t is in seconds. (a) Determine the frequency. Hz (b) Determine period of the motion. S (c) Determine the amplitude of the motion. m (d) Determine the phase constant. rad (e) Determine the position of the particle at t = 0.350 s. m

An object of mass 8.0 kg is attached to an ideal massless spring and allowed to hang in the Earth's gravitational field. The spring stretches 3.6 cm before it reaches its equilibrium position. If this system is allowed to oscillate, what will be its frequency? O 0.0045 Hz O 2.1 Hz O 0.67 Hz O 2.6 Hz

The left-hand end of a long horizontal stretched cord oscillates transversely in SHM with frequency 260 Hz and amplitude 2.7 cm. The cord is under a tension of 150 N and has a linear density 0.13 kg/m. At t=0, the end of the cord has an upward displacement of 1.7 cm and is falling. Consider the point x = 1.05 m on the cord A) What is its velocity at t = 2.6 s? B) What is its acceleration at t = 2.6 s?

The midpoint of a guitar string demonstrates simple harmonic motion with motion following the form x(t) = A sin (wt +ϕ). It has an angular frequency of w = 2.65 x 103 s-1 and an amplitude of A=1.50 mm. The phase constant is ϕ= pi/2. What is the maximum magnitude of the acceleration of the string?

What is the frequency of the simple harmonic motion of a mass hanging from a spring, where k = 500 N/m and a mass=5kg.

Final Answer must be decimal or whole number only!!!

The motion of a body is described by the equation 3.40 sin (0.320лt) where t is in s and y is in m. (a) Find the amplitude. 3.4 m (b) Find the period. 19.63 s (c) Find the frequency. .160 Hz (d) Find the displacement at t = 3.00 s. 1.7884 m (e) Find the displacement at t = 30.0 s. .1708 m X

A block of mass  m = 6.04 kg  is attached to a spring with spring constant  k = 1532 N/m  and rests on a frictionless surface. The block is pulled, stretching the spring a distance of 0.145 m, and is held still. The block is then released and moves in simple harmonic motion about the equilibrium position. (Assume that the block is stretched in the positive direction.) (a) What is the frequency of this oscillation? Hz(b) Where is the block located 3.24 s after it is released? (Give the displacement from the equilibrium. Include the sign of the value in your answer.) m(c) What is the velocity of the mass at that time? (Indicate the direction with the sign of your answer.) m/s