Step-by-step explanation:
(i) Sum the forces at point M in the x direction.
∑F = ma
-T sin 30° − T sin 30° + 5 N = 0
2T sin 30° = 5 N
T = 5 N
(ii) Sum the forces on the ring in the x direction.
∑F = ma
T sin 30° − N = 0
N = 2.5 N
Sum the forces on the ring in the y direction.
∑F = ma
T cos 30° − mg − Nμ = 0
Nμ = T cos 30° − mg
2.5 μ = 5 cos 30° − 2
μ = 0.932
(iii) Sum the forces on the ring in the y direction.
∑F = ma
T cos 30° − m₁g − m₂g + Nμ = 0
m₂g = T cos 30° − m₁g + Nμ
m (10) = 5 cos 30° − 2 + (2.5)(0.932)
m = 0.466 kg
Plug it into point-slope form.
y - y1 = m(x - x1)
Where y1 is the y-value of the point, x1 is the x-value, and 'm' is the slope.
So plug in -1 for x1, 2 for y1, and 0.9 for 'm':
y - 2 = 0.9(x + 1)
Simplify to get in slope-intercept form:
Distribute 0.9 into the parenthesis:
y - 2 = 0.9x + 0.9
Add 2 to both sides:
y = 0.9x + 2.9
Answer:
Es un paralelogramo porque los lados opuestos son paralelos
Step-by-step explanation:
Answer:
2.9% = 0.029 in decimal form. Percent means 'per 100'. So, 2.9% means 2.9 per 100 or simply 2.9/100. If you divide 2.9 by 100, you'll get 0.029
Step-by-step explanation:
Answer: -2a^3 + 9a^2 + 45a + 18b^2 + 6ab^2
Step-by-step explanation:
(a + 3) * (-2a^2 + 15a + 6b^2)
We open the brackets with (a + 3)
a ( -2a^2 + 15a + 6b^2) + 3(-2a^2 + 15a + 6b^2)
Opening the brackets
= a * -2a^2 = -2a^3
a * 15a = 15a^2
a * 6b^2 = 6ab^2
3 * -2a^2 = -6a^2
3 * 15a = 45a
3 * 6b^2 = 18b^2
Let's arrange those values weve gotten together ,don't forget the signs each carry
= -2a^3 + 15a^2 + 6ab^2 - 6a^2 + 45a + 18b^2
Collect the like terms
= -2a^3 + 15a^2 - 6a^2 + 6ab^2 + 45a + 18b^2
= -2a^3 + 9a^2 + 6ab^2 + 45a + 18b^2
