Answer:
8.6 N
Step-by-step explanation:
Let T be the unknown force
Let θ be the slope of the inclined plane to horizontal
Let φ be the angle of the force to the plane
Let μ be the coefficient of static friction
Let m be the mass
Let N be the Normal force of plane on mass
Let Ff be the friction force which will have a maximum at μN
Let g be gravity
Forces acting <u>parallel to the plane</u>. Upslope is positive
For minimum force T, friction will be max and acting upslope.
F = ma
Tcosφ - mgsinθ + Ff = m(0)
Tcosφ - mgsinθ + μN = 0
Tcosφ - mgsinθ + μ(mgcosθ - Tsin(θ + φ)) = 0
T(cosφ - μsin(θ + φ)) + μmgcosθ - mgsinθ = 0
T = mg(sinθ - μcosθ) / (cosφ - μsin(θ + φ))
T = 2(9.8)(sin30 - 0.25cos30) / (cos30 - 0.25sin(30 + 30))
T = 8.5547537...
There are 24 children in the class, there are 10 girls and 14 boys, I want to make goodie bags for my birthday. I want pink bags for the girls and green for the boys. The pink bags cost 2 dollars each and the green cost 4 dollars each. How much would I have to spend on the goodie bags?
Answer:
no. for it to be dilated it must be similar, thus the corresponding sides must be equal in ratio. however the bases 12 and 10. are not in equal ratios as the other sides which is half
Answer:
3
Step-by-step explanation:
eq.
1/5(12×5/6+5)
=1/5×(10+5)
=1/5×15
=3
4 or 5 if u have the unlimited hope this helps