Proyecto 6 The mass center of the 10-kg arm OC is located at G, and the spring o

Question

Proyecto 6 The mass center of the 10-kg arm OC is located at G, and the spring of constant k 2 kN/m is unstretched when ?-0. Plot the applied moment M required for static equilibrium over the range 0 ? 180, Determine the value of for which M 0 (if any) and the minimum and maximum values of M along with the corresponding values of 0 at which these extremes occur. The motion of this mechanism occurs in a vertical plane. Take M to be positive when counterclockwise. The value of m2 is 3 0 ?2kN/m OG 150 mm OA 250 mm OC-360 mm OD 480 mm m2

Explanation / Answer

When ? = 0, the spring is unstretched. At unstretched condition length of the spring = OD – OA 480 – 250 = 230 mm.

As the angle ? changes, the length and angle of the spring also changes. Let at any instant the spring makes an angle ? with OC and the change in spring length = x.

Taking moment about O :

M0 = - (3*g*cos?)*360 + (2000* x*cos(? - 90))*250 - (10*g*cos?)*150

= 500000* x*cos(? - 90) – 2580*9.81*cos?   [since g = 9.81 m/s2]  

= 500000* x*cos(? - 90) – 25309.8*cos? ………… (1)

By putting ? = 0° to 180° and other constant values in equation (1) and doing trial and error we can get the corresponding values of M0.

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

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