Question

Problem 1 A simple harmonic oscillator consists of a block (m = 0.50 kg) attached to a spring (k = 128 N/m). The block is pulled a certain distance from the equilibrium position and released at t = 0 s. The block slides on a horizontal frictionless surface about the equilibrium point x = 0 m with a total mechanical energy of 16 J.

a) What are the amplitude and phase constant of the oscillation? (4 pts.)

b) Find the period of the motion and determine the number of oscillations (cycles) the block completes during a 5.5 s interval? (5 pts.)

c) Find the maximum speed the block will achieve and the time at which it first occurs. (6 pts.)

d) Find the speed of the block at the instant it is displaced 0.35 m from its equilibrium position. (5 pts.)

BONUS: What would be the period of oscillations if the system were released on the moon where 6/ Moon Earth g = g ? (3 pts.)

Answer #1

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?

A simple harmonic oscillator consists of a block of mass
2.60
kg attached to a spring of spring constant
350
N/m. When
t
=
2.20
s, the position and velocity of the block are
x
=
0.175
m and
v
=
3.420
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?

A simple harmonic oscillator consists of a block of mass 4.50 kg
attached to a spring of spring constant 210 N/m. When t = 1.90 s,
the position and velocity of the block are x = 0.143 m and v =
3.870 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 1.30 kg
attached to a spring of spring constant 490 N/m. When t=
0.500 s, the position and velocity of the block are x =
0.155 m and v = 3.510 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 370 N/m. When t = 0.700 s,
the position and velocity of the block are x = 0.198 m and v =
4.450 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?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 10 minutes ago

asked 21 minutes ago

asked 29 minutes ago

asked 44 minutes ago

asked 59 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago