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...
Answer:
Distance traveled in 6 revolution = 56.52 ft
Step-by-step explanation:
Formula:
Circumference of circle = 2πr
r - Radius of circle
It is given that,
A hula hoop has a three foot diameter.
Diameter = 3 ft
Therefore the radius r = diameter/2 = 3/2 = 1.5 ft
<u>To find the circumference of loop</u>
r = 1.5 ft
Circumference = 2πr = 2 * 3.14 * 1.5 = 9.42 ft
<u>To find the distance traveled in 6 revolution</u>
Distance traveled in one revolution = 9.42 ft
Distance traveled in 6 revolution = 6 * 9.42 = 56.52 ft
Answer:
Step-by-step explanation:
f(3)=3^2-3/2=3*3-3/2=9-3/2=18/2-3/2=15/2
Answer:
<em>Sam is 24 years old and his mother is 48 years old.</em>
Step-by-step explanation:
<u>Equations</u>
Let's call
x = Sam's current age
Since Sam's mother is twice as old as Sam:
2x = Sam's mother current age
x + 12 = Sam's age in 12 years
2x - 12 = Sam's mother age 12 years ago
These two last expressions are equal:
x + 12 = 2x - 12
Subtracting x and adding 12:
x = 24
2x = 48
Sam is 24 years old and his mother is 48 years old.
2b < 10
b < 5
How to draw it:
1. Draw a hollow point on number "5"
2. Draw a small vertical line on the top of the point.
3. Draw a long honrizontal line from that vertical line to the left to the end, and add an arrow.