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 0.95 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)....
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 2.24 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 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 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...
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 thin rigid rod of MM = 1.6 kg and L = 3.2 m rotates at...
A thin rigid rod of MM = 1.6 kg and L = 3.2 m rotates at the
angular speed ω = 5 rev/s around the rotation axis which is at d =
0.1 m from the center of the mass of the rod, as shown. Note that
ICM = ML^2/12 for a thin rod.
A. Calculate the moment of inertia I of the rod for the rotation
axis.
B. What is the rotational kinetic energy of the thin rod?
rotation...
A long, uniform rod of mass m and length L is connected to a frictionless pivot....
A long, uniform rod of mass m and length L is connected to a frictionless pivot. It's held in place horizontally and allowed to swing down under the influence of gravity. 3. Sketch the: net torque on the rod as a function of time, and as a function of angular position (for the interval of horizontal to vertical ). (the fatび ) Derive an expression for the angular velocity at the bottom of the rod's swing. a. b.
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...
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 thin rigid rod of MM = 1.6 kg and L = 3.2 m rotates at the
angular speed ω = 5 rev/s around the rotation axis which is at d =
0.1 m from the center of the mass of the rod, as shown. Note that
ICM = ML^2/12 for a thin rod.
A. Calculate the moment of inertia I of the rod for the rotation
axis.
B. What is the rotational kinetic energy of the thin rod?
rotation...
A long, uniform rod of mass m and length L is connected to a frictionless pivot. It's held in place horizontally and allowed to swing down under the influence of gravity. 3. Sketch the: net torque on the rod as a function of time, and as a function of angular position (for the interval of horizontal to vertical ). (the fatび ) Derive an expression for the angular velocity at the bottom of the rod's swing. a. b.
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