a. The object reaches its maximum speed as it passes through the equilibrium point.
b. The object’s velocity is never zero.
c. The object has a constant velocity.
d. The object has a maximum magnitude of acceleration at the equilibrium point.
e. When the object’s velocity has its most negative value, then the acceleration has a maximum magnitude.
x = a sin wt
v = a w cos wt
a = -a w^2 sin wt = -w^2 x
F = m a = -kx
when x = 0, equilibrium , sin wt = 0 and cos wt is 1. That is max velocity
when w t = pi/2, cos wt = 0 so v = 0
v = a w cos wt which is certainly not constant
a = -a w^2 sin wt = -w^2 x which is 0 when x = 0
v = a w cos wt max negative at t = 0
but then sin wt = 0 so acceleration is zero
1) Select the abbreviation that tells how the italicized noun clause is used. S-subject, DO-direct object, SC-subject complement, OP-object of preposition Our study efforts should go to (whatever subject is most in need of improvement.) *my answer is DO
A object-spring system undergoes simple harmonic motion with an amplitude of A. Does the total energy change if the mass is doubled but the amplitude is not changed? Do the kinetic and potential energies depend on the mass? Explain. Thanks in advance
The piston in a particular car engine moves in approximately simple harmonic motion with an amplitude of 8 cm. The mass of the piston is 8 kg and the piston makes 100 oscillations per second. Calculate: a) the maximum value if the acceleration of the
An object with mass 3.0 kg is attached to a spring with spring stiffness constant k = 300 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s. (a) Calculate the
A 0.20 kg object, attached to a spring with spring constant k = 10 N/m, is moving on a horizontal frictionless surface in simple harmonic motion of amplitude of 0.080 m. What is its speed at the instant when its displacement is 0.040 m? (Hint: Use
An object of mass m attached to a spring of force constant k oscillates with simple harmonic motion. The maximum displacement from equilibrium is A and the total mechanical energy of the system is E. What is the object's velocity when its potential energy
The period of motion of an object-spring system is T = 0.474 s when an object of mass m = 296 g is attached to the spring. (a) Find the frequency of motion in hertz. _______Hz (b) Find the force constant of the spring. _______N/m (c) If the total energy of
A body oscillates with simple harmonic motion along the x-axis. Its displacement varies with time according to the equation x=5 sin (PIE + PIE/3). The velocity (in m/s) of the body at t=1 second is:
The motion of a piston in an automobile engine is nearly simple harmonic. If the 1-kg piston travels back and forth over a total distance of 10.0 cm, what is its maximum speed when the engine is running at 3 000 rpm? The answer is 15.7 m/s but I don't
A 200g mass is attached to a spring and allowed to execute simple harmonic motion with a period of 0.25seconds. If the total energy of the system is 2.0 joules, find the force constant of the spring and the amplitude of the motion.
You can ask a new question or browse existing questions.