The walker family is building a cabin for vacationing. mr. walker and his son terrell have erected a scaffold to stand on while they build the walls of the cabin. as they stand on the scaffold terrell pulls on a rope attached to a support beam with a force of 400 newtons (n) at an angle of 65 with the horizontal. mr. walker pulls with a force of 600 newtons at an angle of 110 with the horizontal. what is the magnitude of the combined force they exert on the log?

Alright, lets get started.

Please refer the attached diagram.

400N is applied with angle 65 degrees.

So, there will be two components of the force.

X component will be = fx1 = 400 cos 65

X component will be  fx1 = N

Y component will be fy1 = 400 sin 65

Y component will be fy1 =

Similarly, 600 N force is applied on angle 110degrees, so the components will be

X component fx2 = -600 cos 80

X component fx2 = -

Y component fy2 = 600 sin 80

Y component fy2 =

So, combined X component will be =  

Combined Y component will be =

So, magnitude will be  =

So the magnitud of combined force will be 955.58 N.  :   Answer

Hope it will help :)

question:

could we have options?

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.