A new coffee shop is opening in your neighborhood. The owners have ordered a lar

Question

A new coffee shop is opening in your neighborhood. The owners have ordered a large sign that will hang outside of the shop. The sign will consist of a giant, 10 kg coffee mug that will hang vertically downward from the end of a narrow, horizontal steel beam that sticks out a distance of 2 m from the shop. The 5 kg beam is supported by a wire that is attached to the shop wall on one end, and the far end of the beam on the other, making an angle of 30° from the horizontal. The owners want to know how strong the wire has to be to support the sign.

Explanation / Answer

Applying equilibrium of moment

=>    10 * 9.8 * 2 * cos30 + 5 * 9.8 * 1 * cos30 = F * 2

=>    F = 106.088 N

=>    strong the wire has to be to support the sign =   106.088 N

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.