Question

An oscillator consists of a block attached to a spring (k = 436 N/m). At some time t, the position (measured from the system's equilibrium location), velocity, and acceleration of the block are x = 0.100 m, v = -14.6 m/s, and a = -135 m/s^2. Calculate (a) the frequency of oscillation, (b) the mass of the block, and (c) the amplitude of the motion.

Answer #1

An oscillator consists of a block attached to a spring (k = 483
N/m). At some time t, the position (measured from the system's
equilibrium location), velocity, and acceleration of the block are
x = 0.0632 m, v = -18.4 m/s, and a = -105 m/s2. Calculate (a) the
frequency of oscillation, (b) the mass of the block, and (c) the
amplitude of the motion.

An oscillator consists of a block attached to a spring (k = 495
N/m). At some time t, the position (measured from the system's
equilibrium location), velocity, and acceleration of the block are
x = 0.0628 m, v = -17.7 m/s, and a = -124 m/s2. Calculate (a) the
frequency of oscillation, (b) the mass of the block, and (c) the
amplitude of the motion.

An oscillator consists of a block attached to a spring (k = 125
N/m). At some time t, the position (measured from the system's
equilibrium location), velocity, and acceleration of the block are
x = 0.700 m, v = −12.0 m/s, and a = −128 m/s2.
(a) Calculate the frequency of oscillation. Incorrect: Your
answer is incorrect. Hz
(b) Calculate the mass of the block. kg (c) Calculate the
amplitude of the motion. m

A block-spring system consists of a spring with constant
k = 445 N/m attached to a 2.25 kg block on a frictionless
surface. The block is pulled 4.10 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 simple harmonic oscillator consists of a block of mass 3.70 kg
attached to a spring of spring constant 410 N/m. When t = 1.60 s,
the position and velocity of the block are x = 0.102 m and v =
3.050 m/s. (a) What is the amplitude of the oscillations? What were
the (b) position and (c) velocity of the block at t = 0 s?

A simple harmonic oscillator consists of a block of mass 3.00 kg
attached to a spring of spring constant 110 N/m. When t =
2.30 s, the position and velocity of the block are x =
0.127 m and v = 3.580 m/s. (a) What is
the amplitude of the oscillations? What were the
(b) position and (c) velocity of
the block at t = 0 s?

A simple harmonic oscillator consists of a block of mass 2.90 kg
attached to a spring of spring constant 280 N/m. When t =
2.20 s, the position and velocity of the block are x =
0.189 m and v = 3.000 m/s. (a) What is
the amplitude of the oscillations? What were the
(b) position and (c) velocity of
the block at t = 0 s?

A simple harmonic oscillator consists of a block of mass 1.70 kg
attached to a spring of spring constant 340 N/m. When t =
0.840 s, the position and velocity of the block are x =
0.101 m and v = 3.100 m/s. (a) What is
the amplitude of the oscillations? What were the
(b) position and (c) velocity of
the block at t = 0 s?

A simple harmonic oscillator consists of a block of mass 3.30 kg
attached to a spring of spring constant 440 N/m. When t =
1.30 s, the position and velocity of the block are x =
0.154 m and v = 3.540 m/s. (a) What is
the amplitude of the oscillations? What were the
(b) position and (c) velocity of
the block at t = 0 s?

A simple harmonic oscillator consists of a block of mass 1.80 kg
attached to a spring of spring constant 360 N/m. When t = 0.520 s,
the position and velocity of the block are x = 0.200 m and v =
4.420 m/s. (a) What is the amplitude of the oscillations? What were
the (b) position and (c) velocity of the block at t = 0 s?

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