A thin rod with a mass of 3.5kg and a length L=1.5 m is oriented horizontally....
A thin rod with a mass of 3.5kg and a length L=1.5 m is oriented horizontally. A motor is attached at point A, which I a distance d=0.4m from the middle of the rod. The motor rotates the rod with a horizontal rotation with point A as the axis of rotation. The angular velocity of the rod follows the function: w(t) =3t + 4cos(0.5t) -4 Calculate the maximum torque that the motor applies to the rod during the time interval [0, 10] seconds.
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A thin rod with a mass of 3.5kg and a length L=1.5 m is oriented
horizontally....
14. A thin rod (mass lkg and length Im) with its rotation axis perpendicular to its length has a moment of incrtia of 1...
14. A thin rod (mass lkg and length Im) with its rotation axis perpendicular to its length has a moment of incrtia of 1/12 ML2. Two forces are applied to the rod. The points of application and the directions of the forces are indicated in the diagram below. The orientations of the forces remain constant relative to the rod as the rod rotates and produce a constant torque on the rod. through its centre and Rotation axis (a) If the...
A system of two bodies consisting of a rod of mass m and length L, and a disk of mass M and radius R, moves in the x-y...
A system of two bodies consisting of a rod of mass m and length L, and a disk of mass M and radius R, moves in the x-y plane. The disk rotates about the axis attached to the rod at a distance b from its axis of rotation. The absolute angular velocity of the rod is 2, and the angular velocity of the disk relative to the rod is @. Determine the ratio E/Ho of the kinetic energy E of...
A uniform thin rod of length 0.97 m and mass 2.2 kg lies in a horizontal...
A uniform thin rod of length 0.97 m and mass 2.2 kg lies in a horizontal plane and rotates in that plane about a pivot at one of its ends. The rod makes one rotation every 0.29 second and rotates clockwise as viewed from above its plane of rotation. the magnitude of the rod's angular momentum about its rotation axis, is 14.95 kg m2/s. 1. choose the correct direction of the angular momentum vector for the situation described above a....
A uniform thin rod of length 0.95 m and mass 1.2 kg lies in a horizontal...
A uniform thin rod of length 0.95 m and mass 1.2 kg lies in a horizontal plane and rotates in that plane about a pivot at one of its ends. The rod makes one rotation every 0.39 second and rotates clockwise as viewed from above its plane of rotation. A)Find the magnitude of the rod’s angular momentum about its rotation axis, in units of kgm^/s. b) find the rotational kinetic energy, in joules, of the rod described in part (a)....
A thin rod of mass M and length L has a fixed rotation axis a distance...
A thin rod of mass M and length L has a fixed rotation axis a distance L/6 from one end. (a) Using the parallel-axis theorem, find the moment of inertia of the rod about its rotation axis. (b) Suppose the rod is held horizontally at rest and then released. Draw a free-body diagram of the rod at the moment of its release, and find its angular acceleration at this moment. (Remember that gravity acts at the rod’s center.) (c) Find...
A 10g bullet is fired horizontally at 1000m/s towards the vertical uniform thin rod (mass 1kg...
A 10g bullet is fired horizontally at 1000m/s towards the vertical uniform thin rod (mass 1kg and lengths 1m) free to rotate about an axis of rotation at its upper end. The bullet strikes the rod (and lodges in it) at distance d=20cm below the rod’s center of mass. What is the angular velocity of the rod-bullet system immediately after the collision? Will the rod make a complete revolution? If yes, what will be its angular velocity at the highest...
1. A thin rod of mass M and length d hangs vertically from a frictionless pivot...
1. A thin rod of mass M and length d hangs vertically from a frictionless pivot attached to one end. A piece of clay of mass m moving horizontally at a speed v hits the rod a distance x from the pivot and sticks to it. Discussion Questions: (In the first 5-10 min a random group will be selected to explain.) • What “type” of collision is happening? What is and is not conserved? • Consider the analogous linear momentum...
A thin rod (length = 2.98 m) is oriented vertically, with its bottom end attached to...
A thin rod (length = 2.98 m) is oriented vertically, with its bottom end attached to the floor by means of a frictionless hinge. The mass of the rod my be ignored, compared to the mass of an object fixed to the top of the rod. The rod, starting from rest, tips over and rotates downward. What is the angular speed of the rod just before it strikes the floor? Consider using the principle of conservation of mechanical energy.
A thin rod (length 2.24 m) is oriented vertically, with its bottom end attached to the...
A thin rod (length 2.24 m) is oriented vertically, with its bottom end attached to the floor by means of a frictionless hinge. The mass of the rod may be ignored, compared to the mass of the object fixed to the top of the rod. The rod, starting from rest, tips over and rotates downward. (a) What is the angular speed of the rod just before it strikes the floor? (Hint: Consider using the principle of conservation of mechanical energy.)(b)...
A thin uniform rod (mass= 4.0 kg, length= 120.cm) rotates about an axis that is perpendicular...
A thin uniform rod (mass= 4.0 kg, length= 120.cm) rotates about an axis that is perpendicular to the rod; the axis intersects the rod at 1/3 of the rod's length. The rod rotates about the axis at the rate of 8 full revolutions per second. a. Compute the rotational Inertia of the rod based on the given axis of rotation. b. Compute the magnitude of the angular velocity in radians per second c. Compute the tangential speed of the end...
14. A thin rod (mass lkg and length Im) with its rotation axis perpendicular to its length has a moment of incrtia of 1/12 ML2. Two forces are applied to the rod. The points of application and the directions of the forces are indicated in the diagram below. The orientations of the forces remain constant relative to the rod as the rod rotates and produce a constant torque on the rod. through its centre and Rotation axis (a) If the...
A system of two bodies consisting of a rod of mass m and length L, and a disk of mass M and radius R, moves in the x-y plane. The disk rotates about the axis attached to the rod at a distance b from its axis of rotation. The absolute angular velocity of the rod is 2, and the angular velocity of the disk relative to the rod is @. Determine the ratio E/Ho of the kinetic energy E of...
A thin rod (length 2.24 m) is oriented vertically, with its bottom end attached to the floor by means of a frictionless hinge. The mass of the rod may be ignored, compared to the mass of the object fixed to the top of the rod. The rod, starting from rest, tips over and rotates downward. (a) What is the angular speed of the rod just before it strikes the floor? (Hint: Consider using the principle of conservation of mechanical energy.)(b)...
A thin uniform rod (mass= 4.0 kg, length= 120.cm) rotates about an axis that is perpendicular to the rod; the axis intersects the rod at 1/3 of the rod's length. The rod rotates about the axis at the rate of 8 full revolutions per second. a. Compute the rotational Inertia of the rod based on the given axis of rotation. b. Compute the magnitude of the angular velocity in radians per second c. Compute the tangential speed of the end...
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