Question
In: Physics
A 10kg weight is attached to a wall horizontally via a spring. The rest (equilibrium) length...
A 10kg weight is attached to a wall horizontally via a spring. The rest (equilibrium) length of the spring is 0.2m. The spring has stiffness coefficient k = 50. The weight drags along the ground, giving an effective damping coefficient of b = 40. We will ignore gravity and all other outside forces on the spring. If the weight is pulled to a position 0.5m away from the wall (thus +0.3m past equilibrium) and then flicked toward the wall at 2m/s.
a. How close is the weight to the wall after 1 second?
b. What is the closest the weight gets to the wall?
Solutions
genius_generous answered 2 years agoRelated Solutions
Differential Equations. A 10kg weight is attached to a wall horizontally via a spring. The rest...
Differential Equations. A 10kg weight is attached to a wall
horizontally via a spring. The rest (equilibrium) length of the
spring is 0.2m. The spring has stiffness coefficient k = 50. The
weight drags along the ground, giving an effective damping
coefficient of b = 40. We will ignore gravity and all other outside
forces on the spring. If the weight is pulled to a position 0.5m
away from the wall (thus +0.3m past equilibrium) and then flicked
toward the...
A 0.454-kg block is attached to a horizontal spring that is at its equilibrium length, and...
A 0.454-kg block is attached to a horizontal spring that is at
its equilibrium length, and whose force constant is 25.0 N/m. The
block rests on a frictionless surface. A 5.60×10−2-kg wad of putty
is thrown horizontally at the block, hitting it with a speed of
8.93 m/s and sticking.
How far does the putty-block system compress the spring?
A 0.454-kg block is attached to a horizontal spring that is at its equilibrium length, and...
A 0.454-kg block is attached to a horizontal spring that is at
its equilibrium length, and whose force constant is 25.0 N/m. The
block rests on a frictionless surface. A 5.80×10−2-kg wad of putty
is thrown horizontally at the block, hitting it with a speed of
8.96 m/s and sticking. How far does the putty-block system compress
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A 5 kg block is attached to a horizontally-mounted spring with a spring constant of 600...
A 5 kg block is attached to a horizontally-mounted spring with a
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10 cm from its normal length and the block is then released with an
additional pull that imparts an initial velocity of 50 cm/s.
The angular velocity (in rad/s) is A rad/s.
The phase shift or off set (in degrees) is B degrees.
The amplitude (in cm) is C cm.
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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
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7) A spring has is stretched horizontally to the right from a wall 0.5 meters by...
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to the right of 2 meters per second.
I) Write down the differential equation that governs the motion
of the mass. Include the initial conditions. (assume no
damping)....
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