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Question 5 A pan balance is made up of a rigid, massless rod with a hanging...
A massless rigid rod is friction free at the left end. At the
center of the pole are two linear springs Attach and on the right
end of the rod is a point mass. Determine the eigenvalue frequency
for the system!
2L
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...
2. Consider a particle of mass M attached to a rigid massless rod of fixed length R whose other end is fixed at the origin. The rod is free to rotate about its fixed point. (a) Give an argument why the Hamiltonian for the system may be written as 21 21 with/-MR2 (b) If the particle carries charge q, and the rotor is placed in a constant magnetic field B, what is the modified Hamiltonian? (e) What is the energy...
Consider hanging masses off the ends of a meter stick which is nailed to the wall, as shown the figure. Take the meter stick to be a 1.0 m long massless rod, the nail is d = 12 from the end as shown, and it is free to rotate about this point. If I put a mass m_1 = 5.0 kg onto the left of the meter stick, how much mass m_2 should I put onto the right end to...
m D 0.35 m Four point masses are attached together by massless rigid rods. If point mass A is 9.0 kg, point mass B is 2.0 killograms, point mass C is 4.5 kg, and D is 2.5 kg. And masses A and B have the same distance between them as B and C, distance m, 0.3 m. Finally the distance between mass C and D is, distance p, 2.5 m. Find the center of mass of the object from point,...
NO 1. A small block with mass 0.500 kg is suspended from the endp' of a rigid massless rod that is 1.60 m long and free to pivot about the far end from the block. The block has an initial velocity of 2.00 m/s to the left at the moment that the rod is perfectly vertical. At that same moment a glob of muck, mmuck 0.040 kg, travelling to the right with constant velocity strikes the block and sticks to...
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...
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...
IS . Three balls are connected on a straight massless 1 m rod. A 10 kg ball is on the left end of the rod. A 20 kg ball is on the right end of the rod. A 15 kg ball is located 0.1 m from the right end of the rod. What is the center of mass of the three balls? (l rs
A massless rigid rod whose length L = 21.0 cm has a ball of mass
m = 0.079 kg attached to one end (see Figure). The other end is
pivoted in such a way that the ball will move in a vertical circle.
The system is launched from the horizontal position A with an
initial downward speed v0. The ball just reaches point D
and then stops. Calculate v0.
What is the tension in the rod at B?
· Rod...