# A sphere of mass 3.00 × 10-4 kg is suspended from a cord. A steady horizontal breeze pushes the sphere to the right so that the cord makes a constant angle of 30.0° with the vertical. Find (a) the push magnitude and (b) the tension in the cord.

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A sphere of mass 3.00 × 10-4 kg is suspended from a cord. A steady horizontal breeze pushes the sphere to the right so that the cord makes a constant angle of 30.0° with the vertical. Find (a) the push magnitude and (b) the tension in the cord.

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Step 1

Consider the sphere’s mass be m, the sphere’s weight be w, the tension in the cord be T, and the push by the horizontal breeze be Fb.

The free-body diagram of the sphere is,

Step 2

From the free body diagram, apply force equilibrium along the vertical direction, and solve for the expression for the tension in the cord.

Step 3

(a)

From the free body diagram, apply force equilibrium along the horizontal direction, and solve for the magnitude of push.

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