This ultimately means that the object being tested is NEUTRAL as it is attracted to both a positive and negative charge
Answer:
a) N = 9 Mg
, b)N_w = μ 9M
, c)
Explanation:
a) For this part we write the equations of trslacinal equilibrium
Axis y
N - Mg - 8M g = 0
N = 9 Mg
N = 9 11 9.8
N = 970.2 N
b) the force on the horizontal axis (x) som
fr -N_w = 0
fr = N_w
friction force is
fr = μ N
N_w = μ 9M
g
fr = 0.59 970.2
fr = N_w = 572,418 N
c) For this part we must use rotational equilibrium.
Στ = 0
We set a frame of reference at the bottom of the ladder and assume that the counterclockwise acceleration is positive
the weight of it is at its midpoint (L / 2)
- W L /2 cos 54 - 8M d_max cos 54+ NW L sin 54 = 0
8M d_max cos 54 = - W L / 2 cos 54 + NW L sin 54
d_max = L (-Mg 1/2 cos 54 + NW sin 54) / (8M cos 54)
d_max = L (-g / 16 + μ 9Mg / 8M tan 54)
d_max = L ( 9/8 μ g tan 54- g/16)
Answer:
15.8 ft/s
Explanation:
= Velocity of car A = 9 ft/s
a = Distance car A travels = 21 ft
= Velocity of car B = 13 ft/s
b = Distance car B travels = ft
c = Distance between A and B after 4 seconds = √(a²+b²) = √(21²+28²) = √1225 ft
From Pythagoras theorem
a²+b² = c²
Now, differentiating with respect to time
![2a\frac{da}{dt}+2b\frac{db}{dt}=2c\frac{dc}{dt}\\\Rightarrow a\frac{da}{dt}+b\frac{db}{dt}=c\frac{dc}{dt}\\\Rightarrow \frac{dc}{dt}=\frac{a\frac{da}{dt}+b\frac{db}{dt}}{c}\\\Rightarrow \frac{dc}{dt}=\frac{21\times 9+28\times 13}{\sqrt{1225}}\\\Rightarrow \frac{dc}{dt}=15.8\ ft/s](https://tex.z-dn.net/?f=2a%5Cfrac%7Bda%7D%7Bdt%7D%2B2b%5Cfrac%7Bdb%7D%7Bdt%7D%3D2c%5Cfrac%7Bdc%7D%7Bdt%7D%5C%5C%5CRightarrow%20a%5Cfrac%7Bda%7D%7Bdt%7D%2Bb%5Cfrac%7Bdb%7D%7Bdt%7D%3Dc%5Cfrac%7Bdc%7D%7Bdt%7D%5C%5C%5CRightarrow%20%5Cfrac%7Bdc%7D%7Bdt%7D%3D%5Cfrac%7Ba%5Cfrac%7Bda%7D%7Bdt%7D%2Bb%5Cfrac%7Bdb%7D%7Bdt%7D%7D%7Bc%7D%5C%5C%5CRightarrow%20%5Cfrac%7Bdc%7D%7Bdt%7D%3D%5Cfrac%7B21%5Ctimes%209%2B28%5Ctimes%2013%7D%7B%5Csqrt%7B1225%7D%7D%5C%5C%5CRightarrow%20%5Cfrac%7Bdc%7D%7Bdt%7D%3D15.8%5C%20ft%2Fs)
∴ Rate at which distance between the cars is increasing three hours later is 15.8 ft/s