All chemical reactions occur at the same rate true or false
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<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>
Its Scalar projection and Vector projection 1 (i+0j+k).
We have been given two vectors <1 -1 1> and vector <1 0 1> , we are to find out the scalar and vector projection of vector <1 -1 1> onto vector <1 0 1>
We have vector a = <1 -1 1> and vector b = <1 0 1>
The scalar projection of vector a onto vector b means the magnitude of resolved component of vector a in the direction of vector b and is given by
The scalar projection of vector a onto vector b =
=
=
=
The Vector projection of vector a onto vector b means the resolved component of vector a in the direction of vector b and is given by
The vector projection of vector a onto vector b .
= (i+0j+k)
= . (i+0j+k)
= (i+0j+k)
= 1 (i+0j+k).
Thus from the above conclusion we can say that scalar projection scalar projection and vector projection 1 (i+0j+k).
Learn more about the vector projection here: brainly.com/question/17477640
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