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 at t0, (c) the angular acceleration of the system at t - 0, (d) the linear acceleration of the particle labeled 3 at t-0, (e) the maximum kinetic energy of the system, (f) the maximum angular speed reached by the rod, (g) the maximum angular momentum of the system, and (h) the maximum translational speed reached by the particle labeled 2.
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A rigid, massless rod has three particles with equal masses attached to it as shown in Figure P8.59.
Three masses are connected by rigid massless rods, as shown. The 200-g mass (B) is located...
Three masses are connected by rigid massless rods, as shown. The 200-g mass (B) is located at the origin (0, 0). (a) Find the x- and y-coordinates of the center of mass. (b) Find the moment of inertia of this system of three connected masses when rotated about the r-axis that passes through mass B? (c) If this system is rotated about the r-axis, from rest to an angular speed of 6 rad/s in time t = 3 s, what...
A light, rigid rod of length l = 1.00 m joins two particles, with masses m1...
A
light, rigid rod of length l = 1.00 m joins two particles,
with masses m1 = 4.00 kg and
m2 = 3.00 kg, at its ends. The combination
rotates in the xy plane about a pivot through the center
of the rod (see figure below). Determine the angular momentum of
the system about the origin when the speed of each particle is
3.20 m/s.
magnitude
kg · m2/s
direction
chose the right
one ( +x , -x , +y...
A light, rigid rod of length ℓ=1.00 m joins two particles, with masses m₁=4.00 kg and m₂=3.00 kg
(a) A light, rigid rod of length ℓ=1.00 m joins two particles, with masses m₁=4.00 kg and m₂=3.00 kg, at its ends. The combination rotates in the x y-plane about a pivot through the center of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 7.60 m / s. (Enter the magnitude to at least two decimal places in kg · m² / s.)(b) What If? What...
(a) A light, rigid rod of length ℓ=1.00 m joins two particles, with masses m₁=4.00 kg and m₂=3.00 kg
(a) A light, rigid rod of length ℓ=1.00 m joins two particles, with masses m₁=4.00 kg and m₂=3.00 kg, at its ends. The combination rotates in the x y-plane about a pivot through the center of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 7.60 m / s. (Enter the magnitude to at least two decimal places in kg · m² / s.)(b) What If? What...
3 4 points Angular momenturn: A light, rigid rod of length 2 = 1m joins two...
3 4 points Angular momenturn: A light, rigid rod of length 2 = 1m joins two particles, with masses mi = 3.00kg and my = 4.00kg, at its ends. The combination rotates in the x-y plane about a pivot through the center of the rod. What is the angular momentum of the system about the origin when the angular speed of each particle is w = 5.00 Rad/. Assume m and m2 are point masses and ignore the mass of...
A light rigid rod 1.00 m in length joins two particles,withmasses 4.00 kg and 3.00...
A light rigid rod 1.00 m in length joins two particles,
withmasses 4.00 kg and 3.00 kg, at its ends. The combination
rotates inthe xy plane about a pivot through the center of
the rod(Fig. P11.11). Determine the angular momentum of the system
aboutthe origin when the speed of each particle is 6.40 m/s.Figure P11.11
5. Consider a rigid structure composed of point particles joined by massless rods. The particles are...
5. Consider a rigid structure composed of point particles joined by massless rods. The particles are numbered 1,2.3.., N, and the particle masses are m, (v 1,2.., N). The locations of the particles with respect to the center of mass are R,. The entire structure rotates on an axis passing through the center of mass with an angular velocity W. Show that the angular momentum with respect to the center of mass is (A.3-26) Then show that the latter expression...
1. (25 pts.) Three particles are at the vertices of a rigid, massless equilateral triangle, whose...
1. (25 pts.) Three particles are at the vertices of a rigid, massless equilateral triangle, whose sides are L = 4.0 m. Their masses are mi = 10 kg, m2 = 20 kg and m3 = 30 kg. a. Find the x and y coordinates of the center of mass of the system, with respect to the point P halfway along the base. b. Find the moment of inertia if the system is free to rotate around an axis down...
Consider the figure above consisting of three particles of mass m attached to a massless rod. Given an axis of rotation...
Consider the figure above consisting of three particles of mass m attached to a massless rod. Given an axis of rotation through point P, the rod rotates as shown in the figure. If the rod is released from rest in the horizontal position at t = 0. What is the angular acceleration of the system (rod and three particles) immediately after being released? Let d = 2.50 m. Your Answer: T !
Example 10.8 Rotating Rod A uniform rod of length L 1.6 m and mass 2.8 k...
Example 10.8 Rotating Rod A uniform rod of length L 1.6 m and mass 2.8 k is attached at one end to a frictionless pivot and is free to rotate about the pivot in the vertical plane as in the figure. The rod is released from rest in the horizontal position. What are the initial angular acceleration of the rod and the initial translational acceleration of its right end Pivot SOLVE IT Mg A rod is free to rotate around...
A
light, rigid rod of length l = 1.00 m joins two particles,
with masses m1 = 4.00 kg and
m2 = 3.00 kg, at its ends. The combination
rotates in the xy plane about a pivot through the center
of the rod (see figure below). Determine the angular momentum of
the system about the origin when the speed of each particle is
3.20 m/s.
magnitude
kg · m2/s
direction
chose the right
one ( +x , -x , +y...
3 4 points Angular momenturn: A light, rigid rod of length 2 = 1m joins two particles, with masses mi = 3.00kg and my = 4.00kg, at its ends. The combination rotates in the x-y plane about a pivot through the center of the rod. What is the angular momentum of the system about the origin when the angular speed of each particle is w = 5.00 Rad/. Assume m and m2 are point masses and ignore the mass of...
A light rigid rod 1.00 m in length joins two particles,
withmasses 4.00 kg and 3.00 kg, at its ends. The combination
rotates inthe xy plane about a pivot through the center of
the rod(Fig. P11.11). Determine the angular momentum of the system
aboutthe origin when the speed of each particle is 6.40 m/s.Figure P11.11
5. Consider a rigid structure composed of point particles joined by massless rods. The particles are numbered 1,2.3.., N, and the particle masses are m, (v 1,2.., N). The locations of the particles with respect to the center of mass are R,. The entire structure rotates on an axis passing through the center of mass with an angular velocity W. Show that the angular momentum with respect to the center of mass is (A.3-26) Then show that the latter expression...
1. (25 pts.) Three particles are at the vertices of a rigid, massless equilateral triangle, whose sides are L = 4.0 m. Their masses are mi = 10 kg, m2 = 20 kg and m3 = 30 kg. a. Find the x and y coordinates of the center of mass of the system, with respect to the point P halfway along the base. b. Find the moment of inertia if the system is free to rotate around an axis down...
Example 10.8 Rotating Rod A uniform rod of length L 1.6 m and mass 2.8 k is attached at one end to a frictionless pivot and is free to rotate about the pivot in the vertical plane as in the figure. The rod is released from rest in the horizontal position. What are the initial angular acceleration of the rod and the initial translational acceleration of its right end Pivot SOLVE IT Mg A rod is free to rotate around...
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