A stationary 3.0-m board of mass 5.5 kg is hinged at one end. A force F rightarr

Question

A stationary 3.0-m board of mass 5.5 kg is hinged at one end. A force F rightarrow is applied vertically at the other end, and the board makes a 30 degree angle with the horizontal. A 55-kg block rests on the board 80 cm from the hinge as shown in the figure below. Find the magnitude of the force F rightarrow. N Find the force exerted by the hinge. N Find the magnitude of the force F rightarrow as well as the force exerted by the hinge (F rightarrow H), if F rightarrow is exerted, instead, at right angles to the board. F rightarrow N F rightarrow H N

Explanation / Answer

let force exerted by hinge=R in vertical direction R+F=(5.5+55)*g moment about A -0.8*55*9.81*cos(30)-1.5*5.5*9.81*cos(30)+3*F*cos(30)=0 F=170.85 N F+R=593.5 N R=422.65 N c)F*cos(30)+Fhy=593.5 N -F*sin(30)+Fhx=0 moment about A -0.8*55*9.81*cos(30)-1.5*5.5*9.81*cos(30)+3*F*=0 F=147.96 N Fhx=73.98 N Fhy=465.36 Fh=73.98 i+465.36j

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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