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QUESTION 11 7 points Save A rod of negligible mass has different masses (M and 2M)...
QUESTION 1 A dumbell consists of two identical masses of mass M attached to a either...
QUESTION 1 A dumbell consists of two identical masses of mass M attached to a either end of a rod of length 2X and of negligible mass. If the dumbell is rotated about an axis perpendicular to the rod and passing through the middle of the rod, as shown in the diagram. What is the rotational inertia of the dumbell? Axis. -*-X ←-ㄧㄧㄨ 2Mx2 2M2x MX2 M2x QUESTION 2 Two identical uniform thin rods of length 0.542 m and mass...
A very thin, straight, uniform rod has a length of 3.00 m and a total mass...
A very thin, straight, uniform rod has a length of 3.00 m and a total mass of 7.00 kg. Treating the rod as essentially a line segment of mass (distributed uniformly), do the following: (i) Use integration to prove that the rod's center of mass is located at its center point. (Reminders: dmnds mass (and that axis is perpendicular to the rod). with the previous result-to calculate lemr the moment of inertia of the rod about an axis through one...
3. 25 points A uniform hoop of mass M and radius r has a uniform rod...
3. 25 points A uniform hoop of mass M and radius r has a uniform rod of mass m and length r welded to it as illustrated. a) Given that the rod is at an angle θ from the horizontal, and that the hoop is rotating at a rate ω and rolling on the floor without slipping, what is the total Kinetic Energy, and total Potential Energy (use the height of the center of the hoop as your datum)? Hints:...
[7.] A uniform rod with mass M, length L, and moment of inertial with respect to...
[7.] A uniform rod with mass M, length L, and moment of inertial with respect to the center of mass Icm = MLis hinged at one end (point P) so that it can rotate, without friction, around a horizontal axis. The rod is initially held at rest forming an angle with the vertical (see figure) and then released. a) Find the moment of inertia Ip of the rod with respect to point P. b) Find the magnitude of the angular...
Problem 1 Two identical pucks, each of inertia m, are connected to a rod of length...
Problem 1 Two identical pucks, each of inertia m, are connected to a rod of length 2r and negligible inertia that is pivoted about its center (that is, there is some sort of pin though its center, around which it can rotate without friction). A third puck of inertia m/2 strikes one of the connected pucks perpendicular to the rod with a speed vi. Assume the collision is elastic. (a) Draw a diagram of the situation, clearly labeling the direction...
QUESTION 1 A dumbell consists of two identical masses of mass M attached to a either end of a rod of length 2X and of negligible mass. If the dumbell is rotated about an axis perpendicular to the rod and passing through the middle of the rod, as shown in the diagram. What is the rotational inertia of the dumbell? Axis. -*-X ←-ㄧㄧㄨ 2Mx2 2M2x MX2 M2x QUESTION 2 Two identical uniform thin rods of length 0.542 m and mass...
A very thin, straight, uniform rod has a length of 3.00 m and a total mass of 7.00 kg. Treating the rod as essentially a line segment of mass (distributed uniformly), do the following: (i) Use integration to prove that the rod's center of mass is located at its center point. (Reminders: dmnds mass (and that axis is perpendicular to the rod). with the previous result-to calculate lemr the moment of inertia of the rod about an axis through one...
3. 25 points A uniform hoop of mass M and radius r has a uniform rod of mass m and length r welded to it as illustrated. a) Given that the rod is at an angle θ from the horizontal, and that the hoop is rotating at a rate ω and rolling on the floor without slipping, what is the total Kinetic Energy, and total Potential Energy (use the height of the center of the hoop as your datum)? Hints:...
[7.] A uniform rod with mass M, length L, and moment of inertial with respect to the center of mass Icm = MLis hinged at one end (point P) so that it can rotate, without friction, around a horizontal axis. The rod is initially held at rest forming an angle with the vertical (see figure) and then released. a) Find the moment of inertia Ip of the rod with respect to point P. b) Find the magnitude of the angular...
Problem 1 Two identical pucks, each of inertia m, are connected to a rod of length 2r and negligible inertia that is pivoted about its center (that is, there is some sort of pin though its center, around which it can rotate without friction). A third puck of inertia m/2 strikes one of the connected pucks perpendicular to the rod with a speed vi. Assume the collision is elastic. (a) Draw a diagram of the situation, clearly labeling the direction...
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