(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine the angle of incline on this frictionless air track.

Acceleration = 0.147 m/s^{2}.

The answer is supposed to be 4.10°.

2. Relevant equations

F_{net}= ma

3. The attempt at a solution

Mass 1 (FBD):

Perpendicular (y):

F_{ny}= +F_{n}

T_{y}= 0

a_{y}= 0

F_{gy}= -m_{1}gcosθ

= (428)(-9.80)cosθ

= -4194.4cosθ

F_{n}+ F_{gy}= 0

F_{n}= +4194.4cosθ

Parallel (x):

F_{nx}= 0

= -m_{1}gxsinθ

= -4194.4sinθ

F_{net}= m_{1}a

F_{n}+ F_{gx}+ T = m_{1}a

+4194.4cosθ – (-4194.4sinθ) + T

= (428)(0.147)

= 62.9

Mass 2 (FBD):

F_{g2}= (20.0)(9.80)

= 196

F_{g2}+ T = m_{2}a

196 + T = (20.0)(0.147)

= 2.94

T = 2.94 – 196

T = -490

Final calculations:

+4194.4cosθ – (-4194.4sinθ) + T = 62.9

(-) T = -490

----------------

+4194.4cosθ – (-4194.4sinθ) = 552

Not only do I not know how to solve that final equation, I'm also sure the answer will be wrong. I really don't get how to properly go about this question.

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# Determine the angle of incline

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