Question

Please calculate the x (horizontal) and y (vertical) components of the following problems:

a. Theta = 75o and Resultant = 85 m/s Answer:

b. Theta = 145o and Resultant = 90 kg Answer:

c. Theta = 315o and Resultant = 300 N Answer:

Answer 1

here,

a)

theta = 75 degree

resultant , R = 85 m/s

the x-component of velocity , vx = R * cos(theta)

vx = 85 m/s * cos(75) = 22 m/s

the y-component of velocity , vy = R * sin(theta)

vy = 85 m/s * sin(75) = 82.1 m/s

b)

theta = 145 degree

resultant , R = 90 kg

the x-component of mass force , mx = R * cos(theta)

mx = 90 kg * cos(145) = - 73.7 kg

the y-component of mass force , my = R * sin(theta)

my = 90 kg * sin(145) = 51.6 m/s

c)

theta = 315 degree

resultant , R = 300 N

the x-component of force , Fx = R * cos(theta)

Fx = 300 N * cos(315) = 212 N

the y-component of force , Fy = R * sin(theta)

Fy = 300 N * sin(315) = -212 N