Two masses m are attached to two vertices of an equilateral triangle made of thr

Question

Two masses m are attached to two vertices of an equilateral triangle made of three massless rods of length . A pivot is located at the third vertex, and the triangle is free to swing back and forth in a vertical plane, as shown in Fig. 3.34. If it is initially released from rest when one of the rods is vertical (as shown), find the tensions in all three rods (and specify tension or compression), and also the accelerations of the masses, at the instant right after it is released. Stopping on a cone ** When viewed from the side, the cone in Fig. 3.37 subtends an angle 2? at its tip. A block of mass m is connected to the tip by a massless string and moves in a horizontal circle of radius R around the surface. If the initial speed is v0, and if the coefficient of kinetic friction between the block and the cone is ?, how much time does it take the block to stop? (The answer is a little messy, but there are some limits you can check that will make you feel better about it.)

Explanation / Answer

by taking reference from the centre of mass, we get torque at centre of mass = mg sqrt(5)/2*sin(30)

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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