[Q5-Home ⋆⋆] Find the period T of a weight of mass m that oscillates from a...

[Q5-Home ⋆⋆] Find the period T of a weight of mass m that oscillates from a spring of constant k on an inclined plane of angle φ with no friction. Support your arguments by clearly showing your work. Hint: It is VERY important to understand, based on the same methodology developed in this section that a spring that oscillates in the vertical, horizontal, or at any angle, will ONLY depend on the mass and the spring’s constant.

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A mass oscillates on a spring with a period T and an amplitude 0.48 cm. The...

A mass oscillates on a spring with a period T and an amplitude 0.48 cm. The mass is at the equilibrium position x=0 at t=0, and is moving in the positive direction. a.) Where is the mass at the time t=T/8? b.) Where is the mass at the time t=T/4? c.) Where is the mass at the time t=T/2? d.) Where is the mass at the time t=3T/4? e.) Plot the position versus time graph with the vertical axis representing...

A mass hanging from a spring oscillates with a period of 0.35 s. Suppose the mass...

A mass hanging from a spring oscillates with a period of 0.35 s. Suppose the mass and spring are swung in a horizontal circle, with the free end of the spring at the pivot. What rotation frequency, in rpm, will cause the spring’s length to stretch by 15%?

A mass of 0.30 kg on the end of a spring oscillates with a period of...

A mass of 0.30 kg on the end of a spring oscillates with a period of 0.45 s and an amplitude of 0.15 m . A) Find the velocity when it passes the equilibrium point. B) Find the total energy of the system. C) Find the spring constant. D) Find the maximum acceleration of the mass.

A mass attached to a spring oscillates with a period of 3.15 s. (a) If the...

A mass attached to a spring oscillates with a period of 3.15 s. (a) If the mass starts from rest at x = 0.0480 m and time t = 0, where is it at time t = 6.97 s? m? (b) Is the mass moving in the positive or negative x direction at t = 6.97 s? positive x direction? negative x direction?

A 3.45 kg mass attached to a spring oscillates with a period of 0.360 s and...

A 3.45 kg mass attached to a spring oscillates with a period of 0.360 s and an amplitude of 17.5 cm. (a) Find the total mechanical energy of the system (b) Find the maximum speed of the mass.

Suppose that a car oscillates vertically as if it were a mass of m = 800...

Suppose that a car oscillates vertically as if it were a mass of m = 800 kg on a single spring with spring constant k = 7 × 104 N/m which is attached to a single damper with c = 3000 N·s/m. Suppose that this car is driven along a sinusoidal road surface with an amplitude of 5 cm and a wavelength of L = 10 m. 1.Write the non-homogeneous ODE that governs the vertical motion of the car. (Make...

A 1.25 kg mass oscillates on a spring with a period of 5.00 s. During oscillation...

A 1.25 kg mass oscillates on a spring with a period of 5.00 s. During oscillation the minimum length of the spring is 4.00 cm and the maximum length of the spring is 9.50 cm. What is the total energy of this system?

Consider a mass spring system. The spring has a constant k=30N/m and mass=3kg. The mass oscillates...

Consider a mass spring system. The spring has a constant k=30N/m and mass=3kg. The mass oscillates w/amplitude of 10cm. a.)what is the frequency of oscillation b.) what is the displacement at time t=0 c.) when is the first time the mass is at maximum displacement? (t=?) d.) what is the maximum acceleration felt by the mass? Where in the motion does this occur? e.)what is the minimum acceleration felt by the mass? Where in the motion does this occur? f.)What...

A particle of mass m = 1 oscillates without friction attached to a spring with k...

A particle of mass m = 1 oscillates without friction attached to a spring with k = 4. The motion of the particle is driven by the external force F(t) = 3 t cos(t). Find the equation of motion and solve it. Discuss the physical meaning of the solution.

1. A block of mass m attached to a spring with spring constant k oscillates horizontally...

1. A block of mass m attached to a spring with spring constant k oscillates horizontally on a frictionless table. Its velocity is 20 cm/s when x = -5 cm. Taking m = 100 gm, and spring constant = 2.5 N/m, a) Find out the equations of position, velocity, and acceleration of the ball. Find also the total energy of the block when its velocity was 20 cm/s. b) Oscillating particles generate waves. What will be the equation of a...

Subjects