Question

At the instant shown, the car at A is traveling 10 m/s at
45^{°} SE around the curve with radius of curvature of 100
m, while increasing its speed at 8 m/s sq. The car at B
is traveling at 18.5 m/s along the straightway eastward and
increasing its speed at 5 m/s sq. Determine the relative
velocity and relative acceleration of B with respect to A at this
instant. The normal component of acceleration for car A makes a
45^{°} with the horizontal axis at the center of curvature.
Show the proper units in all cases.

1-Determine the relative velocity, in vector form, of B with respect to A

2-Determine the direction (angle and sense) of the relative velocity of B with respect to A. Indicate the sense as SW (southwesterly), SE (southeasterly), NW (northwesterly) or NE (northeasterly).

3-Determine the relative acceleration, in vector form, of B with respect to A

4-Determine the direction (angle and sense) of the relative acceleration of B with respect to A. Indicate the sense as SW (southwesterly), SE (southeasterly), NW (northwesterly) or NE (northeasterly).

5-Determine the magnitude of the relative acceleration of B with respect to A.

Answer #1

At the instant shown, the car at A is traveling 10 m/s at 45° SE
around the curve with radius of curvature of 100 m, while
increasing its speed at 8 m/s sq. The car at B is traveling at 18.5
m/s along the straightway eastward and increasing its speed at 5
m/s sq. Determine the relative velocity and relative acceleration
of B with respect to A at this instant. The normal component of
acceleration for car A makes a...

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