Drive the formula for the angular frequency of a mass attached to a horizontal spring exexuting...

Drive the formula for the angular frequency of a mass attached to a horizontal spring exexuting simple harmonic motion? Can anyone help me please?

Expert Solution

genius_generous answered 3 years ago

A 190 g mass attached to a horizontal spring oscillates at a frequency of 4.90 Hz....

A 190 g mass attached to a horizontal spring oscillates at a frequency of 4.90 Hz. At t = 0s, the mass is at x = 5.60 cm and vx = -24.0 cm/s. Determine: The period The angular frequency The amplitude The phase constant

A 155 gg mass attached to a horizontal spring oscillates at a frequency of 3.70 Hz...

A 155 gg mass attached to a horizontal spring oscillates at a frequency of 3.70 Hz . At t =0s, the mass is at x= 6.40 cmcm and has v =− 45.0 cm/s . Determine: a)The maximum speed b)The maximum acceleration. c)The total energy. d)The position at t= 4.80 s

A 180 g mass attached to a horizontal spring oscillates at a frequency of 2.80 Hz....

A 180 g mass attached to a horizontal spring oscillates at a frequency of 2.80 Hz. At t = 0 s, the mass is at x=7.00 cm and has vx= -29.0 cm/s. Determine: The maximum speed, the maximum acceleration, the total energy, and the position at t = 4.40 s.

A 175 g mass attached to a horizontal spring oscillates at a frequency of 2.80 Hz....

A 175 g mass attached to a horizontal spring oscillates at a frequency of 2.80 Hz. At t =0s, the mass is at x= 7.00 cm and has vx =− 35.0 cm/s . Determine: The maximum speed. The maximum acceleration. The total energy. The position at t= 2.80 s . In the previous parts, the following was found: period = 0.357 s, angular frequency = 17.59 rad/s, amplitude = 7.277 cm, phase constant = 15.8679 degrees.

A 145 g mass attached to a horizontal spring oscillates at a frequency of 5.50 Hz....

A 145 g mass attached to a horizontal spring oscillates at a frequency of 5.50 Hz. At t = 0s, the mass is at x = 6.60 cm and has vx =− 35.0 cm/s. Determine: a) The maximum speed. b) The maximum acceleration. c) The total energy. d) The position at t = 3.20 s.

A block with a mass M is attached to a horizontal spring with a spring constant...

A block with a mass M is attached to a horizontal spring with a spring constant k. Then attached to this block is a pendulum with a very light string holding a mass m attached to it. What are the two equations of motion? (b) What would these equations be if we assumed small x and φ? (Do note that these equations will turn out a little messy, and in fact, the two equations involve both variables (i.e. they are...

A mass of 1.20 kg is attached to a horizontal spring with a spring constant of...

A mass of 1.20 kg is attached to a horizontal spring with a spring constant of 125 N/m. It is stretched to a length of 20.0 cm and released from rest. a) Write down an equation for the position and velocity of the block as a function of time. b) What is the maximum magnitude of acceleration that the block experiences? Is this consistent with Hooke’s Law? c) When the block is to the right of the equilibrium position with...

6. A mass on a spring has an angular oscillation frequency of 2.56 rad/s. The spring...

6. A mass on a spring has an angular oscillation frequency of 2.56 rad/s. The spring constant is 27.2 N/m and the system’s kinetic energy is 5.03 J. When t = 1.56 s. (a) What is the velocity of the mass at t = 1.56 s. (b) What is the oscillation amplitude? assume that its maximum displacement occurs at t=0 s and θ = 0.

A block with a mass of 2.00 kg is attached to a spring, undergoing a horizontal...

A block with a mass of 2.00 kg is attached to a spring, undergoing a horizontal simple harmonic motion with a period of 1.26 s. The initial speed of the block is 1.20 m/s when the spring is stretched by 25.0 cm. Let x = 0 at the equilibrium position. Ignore friction. a)Find the spring constant. b)Find the total energy of this object. c)Find the maximum displacement of the motion. d)Find the maximum speed. e)For the block, at what position...

A block with mass 5 kg is attached to the end of a horizontal spring with...

A block with mass 5 kg is attached to the end of a horizontal spring with spring constant 200N/m. The other end of the spring is attached to a wall. The spring is stretched 10cm in the positive directions from its equilibrium length. Assume that the block is resting on a frictionless surface. A) When the spring is fully stretched, what is the magnitude of the force from the spring on the block? B) We then release the block, letting...

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