Explore A small sphere rotates counterclockwise in a Light source (parallel circ

Question

Explore A small sphere rotates counterclockwise in a Light source (parallel circle of radius 3.9 m with Angular speed 4.1 rad/s a constant angular speed of 8.00 rad/s, as shown in the Active Figure. At t = 0, the particle has an x coordinate of 1.0 m and is - moving to the rightA source of parallel rays of light above the sphere produces a shadow on the table, as shown in the Active Figure. N - 8.0 7.5 7.0 - 6.5 6.0 5.5 5.0 4.5 O; 4.0 3.5 3.0 2.5 2.0 1.5 1.0 U - 0.5 - S - (A) Determine the x coordinate as a function of time . (B) Find the x components of the particle's velocity and acceleration at any time t. start reset

Explanation / Answer

A)

x = 3.9 m cos (8t-0.023)

B)

vx = -31.2 m/s sin(8t-0.023)

ax = -249.6 m/s2 cos (8t-0.023)

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