A uniform rod is attached to a wall by a hinge at its base. The red has a mass o

Question

A uniform rod is attached to a wall by a hinge at its base. The red has a mass of 3.5 kg. a length of 1.3 m. is at are angle of 31 degree above the horizontal, and is held in place by a horizontal cord attached to the other end of the rod and belted at the wall above the base of the rod. Determine the tension in the cord. Where is a convenient point about which to take the torques? See if you can write an expression for the torque in terms of the force producing the torque and the perpendicular distance from the line of action of the force to the point about which we have spelled to determine the torque. Sea If you can write a second condition of equilibrium that will a law you to determine the tension in the cord. Determine the horizontal and vertical components of the force exerted on the rod by the hinge Now that you know that tension in the cord from part (a). see if you can at a first condition of equilibrium statement that will allow you to determine the horizontal component of the force exerted on the rod by the hinge?

Explanation / Answer

a) As the rod is in equilibrium net force and net torque acting on it must be zero.

let T is the tension in the cord.

Apply net torque about hinge = 0

m*g*(l/2)*sin(90 -31) - T*l*sin(31) = 0

T = m*g*cos(31)/(2*sin(31))

= 3.5*9.8*cos(31)/(2*sin(31))

= 28.5 N

b) Apply, Fnetx = 0

FH - T = 0

FH = T

= 28.5 N

Apply, Fnety = 0

Fy - m*g = 0

FY = m*g

= 3.5*9.8

= 34.3 N

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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