A bookshelf is held up by two support brackets. The shelf is 50 cm wide. A vase

Question

A bookshelf is held up by two support brackets. The shelf is 50 cm wide. A vase weighing 2 kg is placed on the far right end of the shelf. Ignore the mass of the shelf.

a) Draw a free body diagram of the shelf.

b) write down two equations from the two conditions for static equilibrium (one equation for each condition) as applied to the shelf. Label all forces and torques in your equations with a subscript and tell what each subscript stands for .

c) Solve the equations for the forces applied by each of the two supports.

Explanation / Answer

two equations from the two conditions for static equilibrium

=> N1 + N2 = 2 * 9.8

Also, applying equilibrium of moment

=> N1 * 1 = 9.8 * 1 * 0.5

Solving above two equations

N1 = 4.9 N

N2 = 14.7 N

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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