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Answer to Question #4978 in Mechanics | Relativity for Renu Jangra
Question #4978
A plane is flying with a constant speed along a straight line at an angle of 30 with the horizontal. The weight W of the plane is 80, 000 N and its engine provides a thrust T of 100, 000 N in the direction of flight. Two additional forces are exerted on the plane: the lift force F perpendicular to the plane’s wings, and the force R due to air resistance opposite to the direction of motion. Draw the free-body diagram showing all forces on the plane. Determine F and R.
Expert's answer
W=mg=80 00N
P=100 000 N
Angle =30
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P=100 000 N
Angle =30
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#340153 on Dec 2023
#340153 on Dec 2023
Comments
also in the lift force calculation it seems like you have taken 8,00,000N instead of 80,000N.The answer is F=69282.03N
Dear visitor In the solution provided it's assumed that the plane is moving upwards. Then the force P which is in the direction of a flight is also directed upwards. Resistance force R is opposite to the direction of motion hence it's directed downwards and its direction coincides with the direction of mg sin(theta). Thus, P is opposite to R and mg sin(theta).
moreover if we add up by substituting the value of R,we will end up with two opposite forces adding up with each other,conceptually wrong.i.e.,P+R-mg(sin thetta)
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