If an object on a horizontal, frictionless surface is attached to a spring, displaced, and then released, it will oscillate. If it is displaced 0.12m from its equilibrium position and released with zero initial speed, then after 0.80s its displacement is found to be 0.12m on the opposite side, and it has passed the equilibrium position once during this interval. Find (a) the amplitude, (b) the period and (c) the frequency

A mass is placed on a frictionless, horizontal table. A spring (k=115 N/mk=115 N/m), which can be stretched or compressed, is placed on the table. A 3-kg mass is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x=7.0 cmx=7.0 cm and releases it from rest. The mass oscillates in simple harmonic motion. Find the position, velocity, and acceleration of the mass at time t=3.00 st=3.00 s. x(t=3.00 s)=x(t=3.00 s)= Correct cm v(t=3.00 s)=v(t=3.00 s)= Incorrect cm/s

A 2.5-kg object hanging from a vertical spring of force constant 600 N/m oscillates with an amplitude of 3 cm. When the object is at its maximum downwards displacement, find (a) the total energy of the system, (b) the gravitational potential energy, and (c) the potential energy in the spring. (d) What is the maximum kinetic energy of the object? (Hint: choose potential energy = 0 when the object is in equilibrium.)

A block-spring system consists of a spring with constant k = 405 N/m attached to a 1.00 kg block on a frictionless surface. The block is pulled 6.10 cm from equilibrium and released from rest. For the resulting oscillation, find the amplitude, angular frequency, frequency, and period. What is the maximum value of the block's velocity and acceleration?     (a)amplitude (in m) m (b)angular frequency (in rad/s) rad/s (c)frequency (in Hz) Hz (d)period (in s) s (e)maximum velocity (in m/s) m/s (f)maximum acceleration (in m/s2) m/s2

Two particles oscillate in simple harmonic motion along a common straight-line segment of length 0.86 m. Each particle has a period of 3.8 s, but they differ in phase by π/6 rad. (a) How far apart are they 1.4 s after the lagging particle leaves one end of the path? (b) Are they then moving in the same direction, toward each other, or away from each other?

A 500 g mass is hung from a vertical spring and allowed to come to rest or its equilibrium position. As a result, the spring is stretched by 10 cm. The mass is then pulled down an additional 15 cm and released so that it oscillates in a SHM.   Find the amplitude and frequency of the SHM and write down the equation of the position as a function of time.

Two particles oscillate in simple harmonic motion along a common straight-line segment of length 1.7 m. Each particle has a period of 3.5 s, but they differ in phase by π/6 rad. (a) How far apart are they 1.0 s after the lagging particle leaves one end of the path? (b) Are they then moving in the same direction, toward each other, or away from each other? (a) Number (b) 4 Units

A mass on a spring, moving with simple harmonic motion, vibrates with a frequency of 4.0 Hz and an amplitude of 8.0 cm. If x = 8.0 cm when t = 0, find its speed when t = 3 s.