1. A simple harmonic oscillator consists of a block of mass 4.20 kg attached to a...

1. A simple harmonic oscillator consists of a block of mass 4.20 kg attached to a spring of spring constant 290 N/m. When t = 2.10 s, the position and velocity of the block are x = 0.141 m and v = 3.530 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?

2. If you took your pendulum to the moon, where the acceleration due to gravity is one sixth of what it is on Earth, would you expect the period to be longer, shorter, or the same as on Earth? Please explain your answer.
3. On a playground swing, is the time required per cycle longer or shorter when you stand rather than sit? Please explain your answer

Expert Solution

genius_generous answered 2 years ago

A simple harmonic oscillator consists of a block of mass 3.70 kg attached to a spring...

A simple harmonic oscillator consists of a block of mass 3.70 kg attached to a spring of spring constant 260 N/m. When t = 1.60 s, the position and velocity of the block are x = 0.199 m and v = 3.920 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 3.4 kg attached to a spring...

A simple harmonic oscillator consists of a block of mass 3.4 kg attached to a spring of spring constant 120 N/m. When t = 0.84 s, the position and velocity of the block are x = 0.127 m and v = 3.23 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 0.63 kg block attached to a spring (k =...

A simple harmonic oscillator consists of a 0.63 kg block attached to a spring (k = 190 N/m). The block slides on a horizontal frictionless surface about the equilibrium point x = 0 with a total mechanical energy of 6.0 J. (a) What is the amplitude of the oscillation? (b) How many oscillations does the block complete in 12 s? (c) What is the maximum kinetic energy attained by the block? (d) What is the speed of the block at...

1.For a damped simple harmonic oscillator, the block has a mass of 2.3 kg and the...

1.For a damped simple harmonic oscillator, the block has a mass of 2.3 kg and the spring constant is 6.6 N/m. The damping force is given by -b(dx/dt), where b = 220 g/s. The block is pulled down 12.4 cm and released. (a) Calculate the time required for the amplitude of the resulting oscillations to fall to 1/8 of its initial value. (b) How many oscillations are made by the block in this time? 2.An oscillator consists of a block...

a) a simple harmonic oscillator consists of a glass bead attached to a spring. it is...

a) a simple harmonic oscillator consists of a glass bead attached to a spring. it is immersed in a liquid where it loses 10% of its energy over 10 periods. compute the coefficient of kinetic friction b assuming spring constant k=1 N/m and mass m=10 grams; b) suppose the spring is now disconnected and the bead starts failing in the liquid, accelerating until it reaches the terminal velocity. compute the terminal velocity.

A mass-spring oscillator consists of a 3.40-kg block attached to a spring of spring constant 103...

A mass-spring oscillator consists of a 3.40-kg block attached to a spring of spring constant 103 N/m. At time t = 1.40 s, the position and the velocity of the block are x = 0.150 m and v = 3.18 m/s respectively. What is the amplitude of oscillation? What was the position of the block at t = 0? What was the speed of the block at t = 0?

As in the figure below, a simple harmonic oscillator is attached to a rope of linear...

As in the figure below, a simple harmonic oscillator is attached to a rope of linear mass density 5.4 ✕ 10−2 kg/m, creating a standing transverse wave. There is a 3.5-kg block hanging from the other end of the rope over a pulley. The oscillator has an angular frequency of 44.1 rad/s and an amplitude of 255.0 cm. (a) What is the distance between adjacent nodes? m (b) If the angular frequency of the oscillator doubles, what happens to the...

1A) A 0.3-kg block, attached to a spring, executes simple harmonic motion according to x =...

1A) A 0.3-kg block, attached to a spring, executes simple harmonic motion according to x = 0.08 cos (35 rad/s⋅t), where x is in meters and t is in seconds. Find the total energy of the spring-mass system. Ans.E =1.18 J 1B) A 1.5-kg cart attached to an ideal spring with a force constant (spring constant) of 20 N/m oscillates on a horizontal, frictionless track. At time t = 0.00 s, the cart is released from rest at position x...

A block with mass 2 kg is attached to an ideal massless spring and undergoes simple...

A block with mass 2 kg is attached to an ideal massless spring and undergoes simple harmonic oscillations with a period of 0.50 s. The surface is frictionless. The amplitude of the oscillation is 0.1 m. (a) What is the spring constant of the spring? (b) What is the total mechanical energy of the system (the spring and block system)? (c) What is the maximum speed of the block? (d) What is the speed of the block when the displacement...

The displacement as a function of time of a 4.0kg mass spring simple harmonic oscillator is...

The displacement as a function of time of a 4.0kg mass spring simple harmonic oscillator is . What is the displacement of the mass at 2.2 seconds? ___________m What is the spring constant? ___________________N/m What is the position of the object when the speed is maximum? ______________m What is the magnitude of the maximum velocity?____________________m/s

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