22-24: For each vector: Draw the vector on the axes provided. Draw and label an

Question

22-24: For each vector: Draw the vector on the axes provided. Draw and label an angle to describe the direction of the vector Find the magnitude and the angle of the vector 3.5 Rel 23. B, 2, B, 2 22A, 3A, -2 29. On a f of the equia 30. A bo Exercises 25-27: Define vector A-(5, 30° above the horizontal). Determine the thordinate systems shown below. Show your work below the figure.n wat he l 26. 27 A, 3.4 Motion on a Ramp 31. R the th 28. The figure shows a ramp and a ball that rolls along the ramp. Draw vector arrows on the fiu to show the ball's acceleration at each of the lettered points A to E (or write a , if approprial: fr

Explanation / Answer

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25.

Suppose given that Vector is R and it makes angle T CCW with +x-axis, then it's components are given by:

Rx = R*cos T

Ry = R*sin T

Using above rule:

A = 5 m and at 30 deg CounterClock Wise from +x-axis

Ax = 5*cos 30 deg = 4.33 m

Ay = 5*sin 30 deg = 2.5 m

26.

B = 5 m at 30 deg above the horizontal,

Now see Angle of vector with +x-axis = 30 + 30 = 60 deg

So, Now

Bx = 5*cos 60 deg = 2.5 m

By = 5*sin 60 deg = 4.33 m

27.

C = 5 m at angle 30 deg above horizontal

Now Since axis is rotated, So angle of vector C CounterClock Wise with x-axis will be

Angle = 90 + 45 + 180 + 30 = 345 deg

Now,

Cx = 5*cos 345 deg = 4.83 m

Cy = 5*sin 345 deg = -1.29 m

Please Upvote. Comment below if you have any doubt.

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