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2. The displacement function for a mass of 2.0 kg on a horizontal spring with no...
Consider a 3.0 kg mass on a spring on a horizontal surface. The spring has spring...
Consider a 3.0 kg mass on a spring on a horizontal surface. The
spring has spring constant 45 N/m. The static coefficient of
friction between the mass and the surface is µS = 0.30 and the
kinetic coefficient of friction is µK = 0.20
(a) When the mass is at x0 = 20 cm it is moving to the right
with speed 50 cm/s. Where does it first come to a stop? [Hint: use
energy considerations.]
(b) Once the mass...
* Amass of 2.0 kg is connected to a spring with a spring constant of 5.0...
* Amass of 2.0 kg is connected to a spring with a spring constant of 5.0 N/m. The mass is oscillating on a horizontal, frictionless surface. At time t = 0, the mass is 0.30 m from the equilibrium position and has zero velocity. (a) What is the amplitude? (b) What is the maximum speed of the mass? (c) What is the maximum acceleration of the mass? (d) Write an equation that describes the displacement of the mass from the...
A 2.10 kg mass on a spring has displacement as a function of time given by...
A 2.10 kg mass on a spring has displacement as a function of time given by the equation x(t)=(7.40cm)cos[(4.16rad/s)t−2.42rad]: a) Find the time for one complete vibration. T=1.51s b) Find the force constant of the spring. K=36.4 c) Find the maximum speed of the mass. vmax = 0.308m/s d) Find the maximum magnitude of force on the mass. Fmax Fmax=2.69N e) Find the position of the mass at t=1.00s; x = −1.25×10−2m f) Find the speed of the mass at...
Part A: 10 points each (Questions 1-4 1. A block mass of 3 kg attached with a spring kg attached with a spring of s...
Part A: 10 points each (Questions 1-4 1. A block mass of 3 kg attached with a spring kg attached with a spring of spring constant 2500 N/m as shown in the Figure below. The amplitude or maximum displacement X max is 7m. Calculate O a) Maximum Potential energy stored in the spring b) Maximum kinetic energy of the block c) the total energy-spring block system 2. A small mass moves in simple harmonic motion according to the equation x...
A block mass of 3 kg attached with a spring of spring constant 2000 N/m as shown in the Figure below
Part A: 10 points each (Questions 1-4) 1. A block mass of 3 kg attached with a spring of spring constant 2000 N/m as shown in the Figure below. The amplitude or maximum displacement Xmax is 5m. Calculatea) Maximum Potential energy stored in the spring b) Maximum kinetic energy of the block c) the total energy-spring block system 2. A small mass moves in simple harmonic motion according to the equation x = 2 Cos(45t), where "x" displacement from equilibrium point in meters and "t"...
A mass m = 3 kg is attached to a spring with spring constant k =...
A mass m = 3 kg is attached to a spring with spring constant k = 3 N/m and oscillates with simple harmonic motion along the x-axis with an amplitude A = 0.10 m. (a) What is the angular frequency of this oscillation? (b) What is the period T and the frequency f of the oscillation? (c) If the phase constant = 0, write down expressions for the displacement, velocity and acceleration of the mass as a function...
Problem 10. (20 pts) The displacement of a block of mass 0.2 kg on a spring...
Problem 10. (20 pts) The displacement of a block of mass 0.2 kg on a spring is given by x(t) = (0.25 m) cos((2/s)t + π/5) A) What are the angular frequency (in rad/s), frequency (in Hz), and period of this motion? B) Find the spring stiffness of the spring. C) Find the x-component of the velocity of the block as a function of time. D) Find the total energy of the block/spring system E) Find the maximum speed of...
A mass of 2.5 kg is attached to a spring that has a spring constant of...
A mass of 2.5 kg is attached to a spring that has a spring constant of 65 N/m. The mass is oscillating on a frictionless, horizontal surface. When the spring is stretched 10 cm, its elastic potential energy and the kinetic energy of the mass are equal. What is the maximum speed of the mass?
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)...
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)t is observed that after 5 oscillation, the amplitude of oscillations has dropped to three-quarter (three-fourth) of its initial value. (a) 2 pts] Estimate the value ofy. Also, how long does it take the amplitude to drop to one-quarter of initial value? 0 Co [2 pts] Estimate the value of damping...
The displacement of a block attached to a horizontal spring whose spring constant is 6 N/m...
The displacement of a block attached to a horizontal spring whose spring constant is 6 N/m is given by x=1.1cos(3.4t−0.8) m. The block is of mass (kg)? The total energy of the system is (J)? What is the earliest time (t>0) when the kinetic energy equals one-half the potential energy (s)?
Consider a 3.0 kg mass on a spring on a horizontal surface. The
spring has spring constant 45 N/m. The static coefficient of
friction between the mass and the surface is µS = 0.30 and the
kinetic coefficient of friction is µK = 0.20
(a) When the mass is at x0 = 20 cm it is moving to the right
with speed 50 cm/s. Where does it first come to a stop? [Hint: use
energy considerations.]
(b) Once the mass...
* Amass of 2.0 kg is connected to a spring with a spring constant of 5.0 N/m. The mass is oscillating on a horizontal, frictionless surface. At time t = 0, the mass is 0.30 m from the equilibrium position and has zero velocity. (a) What is the amplitude? (b) What is the maximum speed of the mass? (c) What is the maximum acceleration of the mass? (d) Write an equation that describes the displacement of the mass from the...
Part A: 10 points each (Questions 1-4 1. A block mass of 3 kg attached with a spring kg attached with a spring of spring constant 2500 N/m as shown in the Figure below. The amplitude or maximum displacement X max is 7m. Calculate O a) Maximum Potential energy stored in the spring b) Maximum kinetic energy of the block c) the total energy-spring block system 2. A small mass moves in simple harmonic motion according to the equation x...
Problem 10. (20 pts) The displacement of a block of mass 0.2 kg on a spring is given by x(t) = (0.25 m) cos((2/s)t + π/5) A) What are the angular frequency (in rad/s), frequency (in Hz), and period of this motion? B) Find the spring stiffness of the spring. C) Find the x-component of the velocity of the block as a function of time. D) Find the total energy of the block/spring system E) Find the maximum speed of...
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)t is observed that after 5 oscillation, the amplitude of oscillations has dropped to three-quarter (three-fourth) of its initial value. (a) 2 pts] Estimate the value ofy. Also, how long does it take the amplitude to drop to one-quarter of initial value? 0 Co [2 pts] Estimate the value of damping...
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