The angular frequency of the oscillation in the spring-mass system is given by
Putting the values in SI units
The equation of motion of SHM is given by
Let us now calculate the amplitude A of the oscillations using energy conservations.
At the equilibrium point, the energy is
And at one end the energy is given by
Conservation of energy gives us
So, the equation of oscillation becomes
The velocity as a function of time is
And the acceleration as a function of time is
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PART 3:
Speed of the block at t = 0.43 s is
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PART 4:
The magnitude of maximum acceleration is
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PART 5:
At t = 0.43 s, the magnitude of the acceleration of the block is
So, the magnitude of the force on the block is
I need only help with 3,4,and 5 se/ViewProblem?unititemID=4124598&enrollmentID=389313 A block with mass m 7.2 kg is...
A block with mass m = 7.2 kg is attached to two springs with spring constants kleft = 29 N/m and Kright = 50 N/m. The block is pulled a distance x = 0.23 m to the left of its equilibrium position and released from rest. 7) Where is the block located, relative to equilibrium, at a time 1.31 s after it is released? (if the block is left of equilibrium give the answer as a negative value; if the...
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Horkovember 21 Vertical Spring 34,056.7 A block with mass m =6.9 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.24 m. While at this equilibrium position, the mass is then given an initial push downward at v = 5.1 m/s. The block oscillates on the spring without friction. 1) What is the spring constant of the spring? 282 N/m Submit Help 2) What is the oscillation frequency? 1.01 Hz Submit...
I'm having trouble with 3,4 and 5. A block with mass m =6.8 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.23 m. While at this equilibrium position, the mass is then given an initial push downward at v = 5 m/s. The block oscillates on the spring without friction. 1) What is the spring constant of the spring? 289.74N/m 2)What is the oscillation frequency? 1.039 Hz 3)After t =...
A block with mass m =7.2 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.25 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.6 m/s. The block oscillates on the spring without friction. What is the spring constant of the spring? What is the oscillation frequency? After t = 0.39 s what is the speed of the block? What is...
A block with mass m =6.6 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.24 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.3 m/s. The block oscillates on the spring without friction. 1) What is the spring constant of the spring? N/m Submit 2) What is the oscillation frequency? Hz Submit 3) After t = 0.41 s what is...
The sphere is made of aluminum and its mass is 28 kg. 1) What is the radius of the sphere? (Express your answer to walenificant figures m Submit Your submissions: 0.0434 Computed value: 0.0434 Feedback: X Submitted: Thursday, November 21 at 7:41 PM