What happens if there is friction in the systems of an object attached to a spring?...

What happens if there is friction in the systems of an object attached to a spring?

Discuss mechanical energy under these conditions.

Expert Solution

genius_generous answered 2 years ago

A 3kg object is attached to spring and will stretch the spring 392mm by itself. There...

A 3kg object is attached to spring and will stretch the spring 392mm by itself. There is no damping in the system and a forcing function of F(t)=10 coswt, w=(k/w)-2 is attached to the object. The spring is deflected y distance father than equilibrium position due to the F(t). k is the spring modulus and M is the mass of the object. a) Derive the governing equation for the spring-object mass system decribed in the problem.Assume Mg=hk b) if the...

An object with m1 = 5kg is attached to a spring of negligible mass. This mass/spring...

An object with m1 = 5kg is attached to a spring of negligible mass. This mass/spring combination is then slid horizontally on a frictionless surface with a velocity of 5m/s towards a stationary object with m2 = 6kg. Upon impact, the spring compresses, then we examine two cases. First, find the velocities of the two objects assuming the spring completely relaxes again after the interaction. Second, assume that m2, after they separate, slides up a frictionless incline. (a) What is...

If an object on a horizontal frictionless surface is attached to a spring, displaced, and then...

If an object on a horizontal frictionless surface is attached to a spring, displaced, and then released, it oscillates. Suppose it is displaced 0.125 m from its equilibrium position and released with zero initial speed. After 0.860 s, its displacement is found to be 0.125 m on the opposite side and it has passed the equilibrium position once during this interval.Find the amplitude of the motion.=________________mFind the period of the motion.=________________sFind the frequency of the motion.=_________________Hz

An object with a mass m = 51.6 g is attached to a spring with a...

An object with a mass m = 51.6 g is attached to a spring with a force constant k = 17.3 N/m and released from rest when the spring is stretched 36.2 cm. If it is oscillating on a horizontal frictionless surface, determine the velocity of the mass when it is halfway to the equilibrium position.

A mass of 1.1kg is attached to a spring and constrained to move without friction along...

A mass of 1.1kg is attached to a spring and constrained to move without friction along the x-axis. The mass is attached to a spring of spring constant 80?? N m ; one end of the spring is attached to a fixed point along the x-axis while the other is attached to the mass. The equilibrium position of the mass is the origin. The mass has a position as a function of time which can be expressed: ?(?)=?cos(??+?) x (...

If a block slides down an inclined plane having friction with a spring attached to the...

If a block slides down an inclined plane having friction with a spring attached to the horizontal plane at the bottom of the plane.Find the coefficine tof kinetic friction. mass of the block is 10 kg and the angle is 30 degrees the spring constant is 500 N/m

An object with mass 3.5 kg is attached to a spring with spring stiffness constant k...

An object with mass 3.5 kg is attached to a spring with spring stiffness constant k = 270 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s.(a) Calculate the amplitude of the motion._____ m(b) Calculate the maximum velocity attained by the object. [Hint: Use conservation of energy.]______ m/s

an 10 kg object is hung from a spring attached to a fixed support. The spring...

an 10 kg object is hung from a spring attached to a fixed support. The spring constant of the spring is k=40 Nm**(-1) (I mean to the power of -1) Suppose an external downward force of magnitude f(T) = 20 e **(-2t) N is applied to the object, and damping due to air resistence occurs with damping constant beta = 40 N s m **(-1). Let y(t) denote the distance in meters of the object below its equilibrium position at...

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.

An object attached to a spring vibrates with simple harmonic motion as described by the figure...

An object attached to a spring vibrates with simple harmonic motion as described by the figure below. (a) For this motion, find the amplitude. (b) For this motion, find the period. (c) For this motion, find the angular frequency. (d) For this motion, find the maximum speed (e) For this motion, find the maximum acceleration. (f) For this motion, find an equation for its position x in terms of a sine function.

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