1.A 3-kg mass is attached to a relaxed spring withk= 400 N/m and is initially at rest. A 0.1 kg bulletembeds itself in the block, causing it to move in thepositivexdirection. Find: (a) The initial phaseangle,φ0, of the oscillator. (b) The frequency,f, of the oscillations after collision.
2.Consider a simple harmonic oscillator with amplitudeA. When its acceleration is at its maximum(positive) value, what is its positionx?
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1.A 3-kg mass is attached to a relaxed spring withk= 400 N/m and is initially at...
A simple harmonic oscillator consists of a block of mass 3.50 kg attached to a spring of spring constant 400 N/m. When t = 1.70 s, the position and velocity of the block are x = 0.121 m and v = 4.020 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?
1) A block of mass m = 0.52 kg is attached to a spring with
force constant 119 N/m is free to move on a frictionless,
horizontal surface as in the figure below. The block is released
from rest after the spring is stretched a distance A = 0.13 m.
(Indicate the direction with the sign of your answer. Assume that
the positive direction is to the right.)
(a) At that instant, find the force on the block. N
(b)...
A 0.940 kg block is attached to a horizontal spring with spring constant 1600 N/m . The block is at rest on a frictionless surface. A 8.00 g bullet is fired into the block, in the face opposite the spring, and sticks. The subsequent oscillations have an amplitude of 13.0 cm . A) Find the total energy of the oscillator. B) Find the speed of the bullet and block immediately after the collision. C) Find the speed of the bullet...
A simple harmonic oscillator consists of a block of mass 1.60 kg attached to a spring of spring constant 170 N/m. When t = 1.50 s, the position and velocity of the block are x = 0.126 m and v = 3.090 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 4.30 kg attached to a spring of spring constant 440 N/m. When t = 1.90 s, the position and velocity of the block are x = 0.179 m and v = 4.100 m/s. What is the amplitude of the oscillations? What were the position and velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 2.50 kg attached to a spring of spring constant 190 N/m. When t = 1.70 s, the position and velocity of the block are x = 0.184 m and v = 3.140 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 4.60 kg attached to a spring of spring constant 290 N/m. When t = 0.530 s, the position and velocity of the block are x = 0.158 m and v = 3.560 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 3.50 kg attached to a spring of spring constant 440 N/m. When t = 2.20 s, the position and velocity of the block are x = 0.136 m and v = 3.210 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 2.00 kg attached to a spring of spring constant 100 N/m. When t = 1.00 s, the position and velocity of the block are x = 0.129 m and v = 3.415 m/s respectively. a) What is the amplitude of oscillations? b) What were the position and velocity of the mass at time t = 0?
A harmonic oscillator consists of a block attached to a spring (k = 400 N/m). The mass is initially displaced to x_max = 0.128 m. At some later time, t, the block has the following kinematic variables: x = 0.100 m, v = -13.6 m/s, a = -123 m/s^2 a) find the frequency of oscillation b) the mass of the block c) the amplitude of the motion. d) and the total mechanical energy of the system.