(a) How far has the spring compressed when the mass is, at least for an instant, at rest? (b) What is the period?

A body with mass of 250 g is attached to the end of a spring that is stretched 25 cm by a force of 9 N. At time t=0 the body is pulled 1 m to the left. stretching the spring, and set in motion with an initial velocity of 5 m/s to the right. (a) Find x(t) in the form C cos (-a). (b) Find the amplitude and the period of motion of the body.

A mass suspended from a spring is raised a distance of 5 cm above its resting position. The mass is released at time t=0 and allowed to oscillate. After one third of a ​second, it is observed that the mass returns to its highest position, which was 4.5 cm above its resting position. What is the rate of change of the position of the mass at t = 2.1 seconds? Round your answer to three decimal places.

The graph shown in the figure (Figure 1) closely approximates the displacement at of a tuning fork as a function of time t as it is playing a single note. Figure x(mm) 0.4 0.2 -0.2 -0.4 AMA 2 (ms) 1 of 1 What is the amplitude of this fork's motion? A = Submit Part B T = What is the period of this fork's motion? Submit Part C | ΑΣΦ Request Answer | ΑΣΦ What is the frequency of this fork's motion? f = 426 Part D Request Answer ΠΑΣΦ Submit Previous Answers Request Answer w = 2π (224) What is the angular frequency of this fork's motion? ID ΑΣΦ ? * Incorrect; Try Again; 4 attempts remaining ? ? ? mm mns Hz rad/s Pearson

A 5 kg oscillator has a speed of  6.5 m/s when its displacement is 1.5 m and 2.9 m/s when its displacement is  9.7 m. What is the oscillator's maximum speed?

In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 5.00 cos (4t+ (4t + 1/7) where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. cm (b) At t = 0, find velocity of the piston. cm/s (c) At t = 0, find acceleration of the piston. cm/s² (d) Find the period and amplitude of the motion. period amplitude S cm

Two balls of masses, 1.00 kg and 3.00 kg, respectively, are connected by a light spring of spring constant 81.0 N/m and set on a smooth, horizontal table.  What is the reduced mass of this two-body system?(A) 0.75 kg; (B) 1.00 kg; (C) 1.50 kg; (D) 2.25 kg; (E) 3.00 kg. What is the period of oscillations of the two balls along the spring? (A) 0.305 s; (B) 0.405 s; (C) 0.505 s; (D) 0.605 s; (E) 0.705 s.   What is the maximum relative speed between the two balls if the spring is stretched by 27.0 cm with the two balls released from rest? (A) 2.01 m/s; (B) 2.21 m/s; (C) 2.41 m/s; (D) 2.61 m/s; (E) 2.81 m/s.

If we attach two blocks that have masses m1 and m2 to either end of a spring that has a force constant k and set them into oscillation by releasing them from rest with the spring stretched, show that the oscillation frequency is given by v = (k/m)^1/2, where m = m1m2 /(m1 + m2) is the reduced mass of the system.

on planet x, a ball (mass 1kg) on a massless, rigid rod (length 2m) oscillates as a simple pendulum with a period of 2 sec. If the pendulum is taken the moon of planet x, where the free-fall acceleration g is half as big, the period will be....

A 1.00-kg glider attached to a spring with a force constant 16.0 N/m oscillates on a frictionless, horizontal air track. At t = 0, the glider is released from rest at x = -2.70 cm (that is, the spring is compressed by 2.70 cm). (a) Find the period of the glider's motion. s(b) Find the maximum values of its speed and acceleration. speed  m/s acceleration  m/s2 (c) Find the position, velocity, and acceleration as functions of time. (Where position is in m, velocity is in m/s, acceleration is in m/s2, and t is in s. Use the following as necessary: t.) x(t) =        v(t) =        a(t) =