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Consider a stick of length I, mass m, and uniform mass density. The stick is pivoted...
A stick of length 1.5 m and mass 8.0 kg is free to rotate about a...
A stick of length 1.5 m and mass 8.0 kg is free to rotate about a horizontal axis through the center. Small bodies of masses 7.0 and 4.0 kg are attached to its two ends. The stick is released from the horizontal position. What is the angular velocity of the stick (in rad/s) when it swings through the vertical? (Enter the magnitude.)
A stick of length 1.5 m and mass 9.0 kg is free to rotate about a...
A stick of length 1.5 m and mass 9.0 kg is free to rotate about
a horizontal axis through the center. Small bodies of masses 8.0
and 2.0 kg are attached to its two ends (see the following figure).
The stick is released from the horizontal position. What is the
angular velocity of the stick (in rad/s) when it swings through the
vertical? (Enter the magnitude.)
(10 points) A uniform rod of length L=2m and mass M#2kg is pivoted about a horizontal...
(10 points) A uniform rod of length L=2m and mass M#2kg is pivoted about a horizontal frict o less pi rod is released from rest at an angle of 30° below the horizontal. The moment of inertia of the rod abou 2 kgm2. a) Draw a diagram of the question showing all related quantities, (5 points) b) Find the angular speed of the rod when it passes through the ve vertical position (5 points
1. Consider a uniform rectangular plate with mass M, side lengths a and 2a, and negligible...
1. Consider a uniform rectangular plate with mass M, side lengths a and 2a, and negligible thickness. In the following, ignore gravitational and frictional forces. a. Identify the principal axes and derive the principal moments of inertia 2a b. The plate is made to rotate with a constant angular velocity around an axis coincident with a diagonal of the rectangle as shown. Express the angular momentum vector in terms of the body coordinate system consisting of the body's principal axes...
Problem: (2 Parts) Consider a stick of mass, M = 12.0 kg and length, L =...
Problem: (2 Parts) Consider a stick of mass, M = 12.0 kg and length, L = 1.70 m hanging vertically initially. A bullet of mass, m = 0.030 kg and speed, v = 50 m/s strikes and embeds itself at the bottom end of the stick. Magnitude of acceleration due to gravity is g = 10 m/s2. Note: The moment of inertia of a rod about it's center of mass I = 1 ML?. You may need to use the...
part 1 A thin, hollow sphere of radius r = 0.480 m and mass m =...
part 1 A thin, hollow sphere of radius r = 0.480 m and mass m = 13.5 kg turns counterclockwise about a vertical axis through its center (when viewed from above), at an angular speed of 2.90 rad/s. What is its vector angular momentum about this axis? (Enter the magnitude in kg. m2/s.) magnitude kg . m/s direction ---Select--- part 2 A particle of mass 0.500 kg is attached to the 100-cm mark of a meterstick of mass 0.200 kg....
17. [1pt) A wheel of mass m = 1.87 kg and moment of inertia, I = 1.530 kg.m- is supported by a pivot a distance d=0.17...
17. [1pt) A wheel of mass m = 1.87 kg and moment of inertia, I = 1.530 kg.m- is supported by a pivot a distance d=0.17 m from the wheel, as shown in the diagram. The axle through the wheel is initially in the horizontal plane, as shown, and the wheel is spinning about the axis in the sense indicated, with an angular velocity o = 90 rad's. Answer the following three questions using the choices given; c.g., if the...
[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...
M,R a = 0 14. A body consisted of an uniform rod of mass m and length L, and a disk of mass M and radius R can rotate a...
M,R a = 0 14. A body consisted of an uniform rod of mass m and length L, and a disk of mass M and radius R can rotate about the axis z. At the beginning the body is in the horizontal position and rests. On the body acts only the gravity force. Determine the linear momentum P, and the angular momentum K relatively to point O when the body is in the vertical position, as shown. m. X P2=?...
A uniform meter stick of mass 1.5kg is attached to the wall by a frictionless hinge at one end. On the opposite end it i...
A uniform meter stick of mass 1.5kg is attached to the wall by a frictionless hinge at one end. On the opposite end it is supported by a vertical massless string such that the stick makes an angle of 40 degrees with the horizontal. Find the tension in the string and the magnitude and direction of the force exerted on the stick by the hinge.
A stick of length 1.5 m and mass 9.0 kg is free to rotate about
a horizontal axis through the center. Small bodies of masses 8.0
and 2.0 kg are attached to its two ends (see the following figure).
The stick is released from the horizontal position. What is the
angular velocity of the stick (in rad/s) when it swings through the
vertical? (Enter the magnitude.)
(10 points) A uniform rod of length L=2m and mass M#2kg is pivoted about a horizontal frict o less pi rod is released from rest at an angle of 30° below the horizontal. The moment of inertia of the rod abou 2 kgm2. a) Draw a diagram of the question showing all related quantities, (5 points) b) Find the angular speed of the rod when it passes through the ve vertical position (5 points
1. Consider a uniform rectangular plate with mass M, side lengths a and 2a, and negligible thickness. In the following, ignore gravitational and frictional forces. a. Identify the principal axes and derive the principal moments of inertia 2a b. The plate is made to rotate with a constant angular velocity around an axis coincident with a diagonal of the rectangle as shown. Express the angular momentum vector in terms of the body coordinate system consisting of the body's principal axes...
Problem: (2 Parts) Consider a stick of mass, M = 12.0 kg and length, L = 1.70 m hanging vertically initially. A bullet of mass, m = 0.030 kg and speed, v = 50 m/s strikes and embeds itself at the bottom end of the stick. Magnitude of acceleration due to gravity is g = 10 m/s2. Note: The moment of inertia of a rod about it's center of mass I = 1 ML?. You may need to use the...
part 1 A thin, hollow sphere of radius r = 0.480 m and mass m = 13.5 kg turns counterclockwise about a vertical axis through its center (when viewed from above), at an angular speed of 2.90 rad/s. What is its vector angular momentum about this axis? (Enter the magnitude in kg. m2/s.) magnitude kg . m/s direction ---Select--- part 2 A particle of mass 0.500 kg is attached to the 100-cm mark of a meterstick of mass 0.200 kg....
17. [1pt) A wheel of mass m = 1.87 kg and moment of inertia, I = 1.530 kg.m- is supported by a pivot a distance d=0.17 m from the wheel, as shown in the diagram. The axle through the wheel is initially in the horizontal plane, as shown, and the wheel is spinning about the axis in the sense indicated, with an angular velocity o = 90 rad's. Answer the following three questions using the choices given; c.g., if the...
[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...
M,R a = 0 14. A body consisted of an uniform rod of mass m and length L, and a disk of mass M and radius R can rotate about the axis z. At the beginning the body is in the horizontal position and rests. On the body acts only the gravity force. Determine the linear momentum P, and the angular momentum K relatively to point O when the body is in the vertical position, as shown. m. X P2=?...
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