B. If you ranked yourself from 6 – 10, describe why it is important to you to be respectful in sports and in other activities, a
1 answer:
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Let at any instant of time the speed is vo and the angle made by the bike with the horizontal is given
now we have
component of speed in x direction given as
component of speed in y direction will be
now from above two equations we can say that here
= angle with the horizontal at any instant
and since here it is a sine curve so we know that
so we have slope of graph
Answer:
h=2.86m
Explanation:
In order to give a quick response to this exercise we will use the equations of conservation of kinetic and potential energy, the equation is given by,
There is no kinetic energy in the initial state, nor potential energy in the end,
In the final kinetic energy, the energy contributed by the Inertia must be considered, as well,
The inertia of the bodies is given by the equation,
On the other hand the angular velocity is given by
Replacing these values in the equation,
Solving for h,
<u>Given data:</u>
m= 50 Kg,
W= m×g = 50 × 9.81 = 490.5 N
ramp angle (α) = 30 degrees,
coefficient of friction (μs) = 0.5773,
Push at an angle (Θ) = 40 degrees,
Determine: Push to get box move up (P)=?
From the figure,
Resolving the forces along the plane
W sinα + μs.R = P cos Θ --------------------- (i)
Resolving the forces perpendicular to the inclined plane
W cosα = R+Psin Θ => R= W cosα - Psin Θ -------------- (ii)
Solving (i) and (ii) and keeping <em>μs = tan Φ, Φ = Θ </em>
<em>Pmin = W sin( α +Θ )</em>
<em> = W[ sin α.Cos Θ + cos α.sin Θ]</em>
<em> = 490.5 [ (sin 30.cos40) + (cos30.sin 40)]</em>
<em> = 460.9 N</em>
<em>Minimum push required to move the box up the ramp is 460.9 N</em>
