g A simply supported beam is subjected to a distribution of force per length given by the polynomial form: q(x)=Axn . Calculate
the deflection v(x) in the beam, where flexural rigidity is EI. (Hint- Find RA and RB first. And start with fourth order equation. Solve for integration constants and write the final equation clearly) (20 points)
1 answer:
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The speed of the rock at 20 m is 34.3 m/s
Explanation:
We can solve this problem by using the law of conservation of energy: the mechanical energy of the rock, sum of its potential energy + its kinetic energy) must be conserved in absence of air resistance. So we can write:
where :
is the initial potential energy
is the initial kinetic energy
is the final potential energy
is the final kinetic energy
The equation can also be rewritten as follows:
where:
m = 100 kg is the mass of the rock
is the acceleration of gravity
is the initial height
u = 0 is the initial speed (the rock starts at rest)
is the final height of the rock
v is the final speed when h = 20 m
And solving for v, we find:
Learn more about kinetic energy and potential energy here:
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