1. (25 pts.) Three particles are at the vertices of a rigid, massless equilateral triangle, whose...

Question

Question

1. (25 pts.) Three particles are at the vertices of a rigid, massless equilateral triangle, whose sides are L = 4.0 m. Their

Answer 1

Answer #1

(a)

x-coordinate of center of mass = mirtists = 104-2+30.2 -0667 mi +m3 10+20+30 = U.

m2 y-coordinate of center of mass = mitmetme = 10+20+30 = - 204273 -

(b)

Moment of inertia about the aris down the middle of the triangle = 1

I = mir + mzr = 10 * 22 + 30 * 2 = 160 kgm

(c)

Torque = la

a= Fr 20*2 = 0.25 rad/52 160

Answer 2

Similar Homework Help Questions

Three light rods of negligible mass are joined to form an equilateral triangle of length L = 1.90 m.

Three light rods of negligible mass are joined to form an equilateral triangle of length L = 1.90 m. Three masses m1 = 5.00 kg, m2 = 7.00 kg, and m3 = 9.00 kg are fixed to the vertices of this triangle as shown in the diagram below. Treat the masses as point particles.(a) What is the moment of inertia of the system about an axis lying in the plane of the triangle, passing through the midpoint of one side...
2. In the figure below (no to scale), the three point-like masses are connected by rigid,...

2. In the figure below (no to scale), the three point-like masses are connected by rigid, massless bars to a fixed rotational axis, perpendicular to the plane of the page (little circle on the figure). The three masses are mi = 4 kg; m2 = 1 kg; m3 = 2 kg. m2 0.1 m ) mi 0.2 m 60° 0.3 m (i) Calculate the moment of inertia of the system. (ii) Calculate the torque generated by the 2 N force.
Three particles of masses m1=1.2 kg, m2=2.5kg, and m3=3.4kg form an equilateral triangle of edge...

Three particles of masses m1=1.2 kg, m2=2.5kg, and m3=3.4kg form an equilateral triangle of edge length a=140 cm. Where is the center of mass of this system?

A rigid, massless rod has three particles with equal masses attached to it as shown in Figure P8.59.

A rigid, massless rod has three particles with equal masses attached to it as shown in Figure P8.59. The rod is free to rotate in a vertical plane about a friction-less axle perpendicular to the rod through the point Pand is released from rest in the horizontal position at t - 0. Assuming m and d are known, find (a) the moment of inertia of the system (rod plus particles) about the pivot, (b) the torque acting on the system...
4. (a) Three point masses are attached to a massless rigid rod. Mass m,-1.0 kg is...

4. (a) Three point masses are attached to a massless rigid rod. Mass m,-1.0 kg is located at x = 1.0 cm, mass m2-2.0 kg at x = 2.0 cm and mass m,-3.0 kg at x-3.0 m. Find the center of mass of the system. (b) Find the center of mass of the four masses as below. mi 2.0 kg at point (1,2) cm; m 3.0 kg at point (2,-3) cm; m -4.0 kg at point (3,-4) cm and m...
Three charged particles are placed at each of three corners of an equilateral triangle whose sides...

Three charged particles are placed at each of three corners of an equilateral triangle whose sides are of length 3.4cm . Two of the particles have a negative charge: q1 = -8.1nC and q2 = -16.2nC . The remaining particle has a positive charge, q3 = 8.0nC . What is the net electric force acting on particle 3 due to particle 1 and particle 2? Find the net force ?F? 3 acting on particle 3 due to the presence of...

IP Three 7.00-kg masses are at the corners of an equilateral triangle and located in space...

IP Three 7.00-kg masses are at the corners of an equilateral triangle and located in space far from any other masses. If the sides of the triangle are 1.01 m long, find the magnitude of the net force exerted on each of the three masses. How does your answer to part A change if the sides of the triangle are doubled in length?
1. In the figure below, three point particles are fixed in place in the xy plane. The three partiles sit on the corners...

1. In the figure below, three point particles are fixed in place in the xy plane. The three partiles sit on the corners of an equilateral triangle with sides of length a = 2.50 mm. Particle 1 has a mass m1 = 12.0 kg, particle 2 has a mass m2 = 18.0 kg, and particle 3 has a mass m3 = 15.0 kg. m --- -- 1 m3 (a) What is the magnitude and direction of the net gravitational force...
Three bodies of identical mass M = 15 kg form the vertices of an equilateral triangle...

Three bodies of identical mass M = 15 kg form the vertices of an equilateral triangle of side L = 0.99 m and rotate in circular orbits about the center of the triangle. They are held in place by their mutual gravitation. a. What is orbital radius of each? b. What is the magnitude of the inward radial force on each mass? c. What is the orbital frequency of each mass?

Three 3.20-kg masses are at the corners of an equilateral triangle and located in space far...

Three 3.20-kg masses are at the corners of an equilateral triangle and located in space far from any other masses. (a) If the sides of the triangle are 2.80 m long, find the magnitude of the net force exerted on each of the three masses. _____ N (b) What would your answer to part (a) be if instead the sides of the triangle are doubled in length? _____ N