A uniform rigid thin rod of length 1 m and mass 4.99 kg is moving on...
A thin uniform rod (length = 1.77 m, mass = 3.13 kg) is pivoted about a horizontal frictionless pin through one of its ends. The moment of inertia of the rod through this axis is (1/3)mL2. The rod is released when it is 58.5° below the horizontal. What is the angular acceleration of the rod at the instant it is released? (in rad/s^2) A: 2.712 B: 3.173 C: 3.713 D: 4.344 E: 5.082 F: 5.946 G: 6.957 H: 8.140
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 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 cylinder of radius r15.0 cm and mass m 1.70 kg is rolling without slipping on a horizontal tabletop. The cylinder's center of mass is observed to have a speed of 4.60 m/s at a given instant. (a) What is the translational kinetic energy of the cylinder at that instant? J (b) What is the rotational kinetic energy of the cylinder around its center of mass at that instant? J (c) What is the total kinetic energy of the...
In the figure, a thin uniform rod (mass 4.6 kg, length 5.0 m) rotates freely about a horizontal axis A that is perpendicular to the rod and passes through a point at a distance d = 1.4 m from the end of the rod. The kinetic energy of the rod as it passes through the vertical position is 18 J. (a) what is the rotational inertia of the rod about axis A? (b) what is the (linear) speed of the...
A uniform rod of mass 2.75×10−2 kg and length 0.400 m rotates in a horizontal plane about a fixed axis through its center and perpendicular to the rod. Two small rings, each with mass 0.190 kg , are mounted so that they can slide along the rod. They are initially held by catches at positions a distance 4.70×10−2 m on each side from the center of the rod, and the system is rotating at an angular velocity 35.0 rev/min ....
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 uniform thin rod of mass M=3.15 kg pivots about an axis through its center and perpendicular to its length. Two small bodies, each of mass m=0.235 kg, are attached to the ends of the rod. What must the length L of the rod be so that the moment of inertia of the three-body system with respect to the described axis is I=0.995 kg·m2 ?
uniform rod of mass 3.30×10−2 kg and length 0.450 m rotates in a horizontal plane about a fixed axis through its center and perpendicular to the rod. Two small rings, each with mass 0.250 kg , are mounted so that they can slide along the rod. They are initially held by catches at positions a distance 5.40×10−2 m on each side from the center of the rod, and the system is rotating at an angular velocity 30.0 rev/min . Without...
5. A half section of a uniform thin pipe of mass m 2 kg is at rest when a force P 40 N is applied at point A as shown. The static and kinetic friction coefficients are μ': 0.15 and μ"01, respectively. Determine (a) the angular acceleration, and (b) the magnitude and direction of the friction force between the thin pipe and the horizontal plane. The distance between the geometric center O and mass center G of the thin pipe...