Question

Asked Feb 6, 2020

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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.

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 *F _{b}*.

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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