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omal3rab

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Thread moved from the technical forums to the schoolwork forums

- Homework Statement
- Three forces are applied to a wheel of radius 0.350 m, as shown in the figure. One force is perpendicular to the rim, one is tangent to it, and the other one makes a 40.0 degree angle with the radius, and a 10 degree angle with the horizontal.

a) What is the magnitude of the net force on the wheel? [3 marks]

- Relevant Equations
- Fnet = sqrt(Fnetx^2 + Fnety^2)

tan(theta)= Fnety/Fnetx

*Three forces are applied to a wheel of radius 0.350 m, as shown in the figure. One force is perpendicular to the rim, one is tangent to it, and the other one makes a 40.0 degree angle with the radius, and a 10 degree angle with the horizontal.*

a) What is the magnitude of the net force on the wheel? [3 marks]

a) What is the magnitude of the net force on the wheel? [3 marks]

I am having trouble with Part a) of this problem, I got Parts b) and c) correct, but theres no answer available for a). I don't know whether I should relate Fnet to 𝜏net. I feel like I shouldn't, since the forces are not all being applied to the same point. I got an answer of Fnet = 14.4 N [-3.44°], is this correct? I made my coordinate system positive going up and to the right, made Fnetx and Fnety statements, then related them by Pythagorean Theorem.

Fnetx: 14.6cos(10) = 14.3782 N

Fnety: 8.5 + 14.6sin(10) - 11.9 = -0.86 N

theta = arctan(0.86/14.3782) = 3.44° (below horizontal, hence the negative sign above)

Fnet: sqrt((14.3782)^2 +(-0.86)^2)) = 14.404 N

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