A 5-kg block is suspended from a vertical spring whose module is 500 N/m. There is no damping nor external forces acting on the system and neglects the effect of air resistance. Given an initial velocity of 10 m/s; 2.a. How far should the initial displacement in meters from the neutral position be, such that the mass traverses over a total range of 4 m? 2.b. How long in seconds is the period of the vibration? 2.c. How far in meters is the object from equilibrium at 7-second mark?

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A 5-kg block is suspended from a vertical spring
whose module is 500 N/m. There is no damping nor
external forces acting on the system and neglects the
effect of air resistance. Given an initial velocity of 10
m/s;
2.a. How far should the initial displacement in meters
from the neutral position be, such that the mass
traverses over a total range of 4 m?
2.b. How long in seconds is the period of the
vibration?
2.c. How far in meters is the object from equilibrium
at 7-second mark?
2.d. How fast in meters/sec is the object at 7-second
mark?
2.e. Is the object SLOWING DOWN or SPEEDING UP at
7-second mark? Explain why.
Transcribed Image Text:A 5-kg block is suspended from a vertical spring whose module is 500 N/m. There is no damping nor external forces acting on the system and neglects the effect of air resistance. Given an initial velocity of 10 m/s; 2.a. How far should the initial displacement in meters from the neutral position be, such that the mass traverses over a total range of 4 m? 2.b. How long in seconds is the period of the vibration? 2.c. How far in meters is the object from equilibrium at 7-second mark? 2.d. How fast in meters/sec is the object at 7-second mark? 2.e. Is the object SLOWING DOWN or SPEEDING UP at 7-second mark? Explain why.
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