A. Draw a free body diagram of the airplane in the spaco provided. (For the purposes of this specific problem you sho leave out both air resistance and the force resulting from the propeller - they are equal and point in opposite directib because in order to keep he plane moving at constant speed, the force of the propeller must equal the resitive force d to the air.)\ B. Which has the larger magnitude: the weight of the plane or the tension in the cord? Explain your reasoning. If the lengths of your arrows do not agiee with your answer to this question go back and redraw them.\ C. John and Nancy disagree about the most convenient coordinate system. John thinks that one axis should be along string and the other pofpendicular to it, yhile Nancypelieves that the axes should be horizontal and vertical. With who do you agree? we agre with. thanch as it is easy to take to as isced is conpons

xsin\\\\theta =0%

In y-direction net fire

ter\\\\theta =tras\\\\theta -m

, Rto 0 istare? methore

=-

rnce\ E. Break up all the forces that are not along any of the directions of your coordinate system and write down Newton's 2 law in component form

(\\\\Sigma F_(x)

)

=m\\\\alpha _(x);\\\\Sigma F_(y)=

(

ma_(y))

for both difections. You will need to determine the accelerations in bo the

x

and

y

directions. You do XOTeed to solve for anything, just write down the equations.\ F. If you have not done so already, write

T_(x)

and

T_(y)

in terms of

T

and

\\\\theta

and rewrite the equations from

D

below. Y-gurection\

rcos\\\\theta-my=mas

Tx=Tsin\\\\theta

Ty=Tcos\\\\theta

\ znd law

Tcos\\\\theta m_(3)=ma2^(2)

\ Finet

=+sin\\\\theta =-man

LRL\\\\theta EFL,\\\\theta g1.2m65\\\\deg \ G. If the length of the string is L and the radius of the trajectory of the plane is R, what is the relationship between L and (in terms of \\\\theta )?\ H. Using the equations in E and F find an expression for the tangential speed of the plane. Your final expression shou depend on L,\\\\theta , and g.\ I. Calculate the speed of the plane if the length of the cord is 1.2m and the angle is 65\\\\deg .

A. Draw a free body diagram of the airplane in the spaco provided. (For the purposes of this specific problem you sho leave out both air resistance and the force resulting from the propeller - they are equal and point in opposite directio because in order to keep he plane moving at constant speed, the force of the propeller must equal the resitive force to the air.) B. Which has the larger magnitude: the weight of the plane or the tension in the cord? Explain your reasoning. If the lengths of your arrows do not agjee with your answer to this question go back and redraw them. Tensim of the sting is wiffur than the weight of the plare hecowk weight it constanf } tension is balancing the weight C. John and Nancy disagree about the most convenient coordinate system. John thinks that one axis should be along th string and the other pefpendicular to it, yhile Nancy/believes that the axes should be horizontal and vertical. With who do you agree? as it is easy to take the \& balance both the werght Which is vericicales dounwand \& alfo D. Give at least one argument for your choige in Cf the centrituse fore whien is in matrens x the In y-direction rettare = and E. Break up all the forces that are not along any of the directions of your coordinate system and write down Newton's 2 law in component form (Fx=mqx;Fy=may) for both difections. You will need to determine the accelerations in bo the x and y directions. You do XOT need to solve for anything, just write down the equations. Created by Alexandru Maries 61 Tutorial: Circular mbtion F. If you have not done so already, write Tx ard Ty in terms of T and and rewrite the equations from D below. y-direction Tcosmy=mas my=masTcosmg=mai2Ty=Tcos G. If the length of the string is L and the radius of the trajectory of the plane is R, what is the relationship between L and (in terms of )? H. Using the equations in E and F find an expression for the tangential speed of the plane. Your final expression shou depend on L,, and g. I. Calculate the speed of the plane if the length of the cord is 1.2m and the angle is 65