A two-dimensional object with uniform mass density is in the shape of a thin squ

Question

A two-dimensional object with uniform mass density is in the shape of a thin square and has a mass of 6.23 kg. The sides of the square are each 62.3 cm long. The coordinate system has its origin at the center of the square. A point mass, m, of 6.23

A two-dimensional object with uniform mass density is in the shape of a thin square and has a mass of 6.23 kg. The sides of the square are each 62.3 cm long. The coordinate system has its origin at the center of the square. A point mass, m, of 6.23·102 g is placed at one corner of the square object, and the assembly is held in equilibrium by positioning the support at position (x, y), as shown in the figure. Find the location of the support. What is this system's x-component of the center of mass? What is this sytstem's y-component of the center of mass?

Explanation / Answer

the support , point mass , and center of square should lie in sale line for equilibrium

assuming "d" distance betweeen support and origin

distance of point mass from origin=a*sqrt(2)/2=62.3*sqrt(2)/2=44.05 cm

by moment balance

6.23*g*d=0.623*g*(44.05-d)

==> d=44.05/11=4 cm

==> X-coordinate = 4/sqrt(2)= 2.83 cm

==> Ycoordinate= 4/sqrt(2)= 2.83 cm

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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