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Two particles that have the same mass m= 500. g are connected by a massless cord...
1. Two particles that have the same mass m = 0.5 kg are connected by a rotation aixs massless cord of l = 20.0 cm and rotate around O with angular speed w = 10.0 rad/s initially, as shown in figure (a). Two seconds later, two particles are mo moved toward the rotations axis, reducing their separation to l' = 15 cm, as shown in figure (b). What is the angular velocity at time t = 2 s? (hint: L...
In the figure, two particles, each with mass m = 0.87
kg, are fastened to each other, and to a rotation axis at
O, by two thin rods, each with length d = 5.8 cm
and mass M = 1.3 kg. The combination rotates around the
rotation axis with angular speed ω = 0.26 rad/s. Measured
about O, what is the combination's (a)
rotational inertia and (b) kinetic energy?
Rotation axis
In the figure, two particles, each with mass m = 0.75 kg, are
fastened to each other, and to a rotation axis at O, by two thin
rods, each with length d = 5.6 cm and mass M = 1.1 kg. The
combination rotates around the rotation axis with angular speed ? =
0.34 rad/s. Measured about O, what is the combination's (a)
rotational inertia and (b) kinetic energy?
CO Rotation axis
In the figure, two particles, each with mass m = 0.85 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d = 5.4 cm and mass M = 1.1 kg. The combination rotates around the rotation axis with angular speed ω = 0.26 rad/s. Measured about O, what is the combination's (a) rotational inertia and (b) kinetic energy?
A block (mass = 2.2 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.6 x 10-3 kg·m2), as the figure shows. Initially the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a...
Four point particles, each with mass 1/4m, are connected by massless rods so that they form a square whose sides have length a. A) what is the moment of inertia I (COR) of this object if it is spun around an axis going through the center of the square perpendicular to the plane of the square?(COR: Center Of Rotation) B) what would be the moment of inertia I (AOR) of the square if it were spun around axis going through...
Three masses are connected by rigid massless rods, as shown. The 200-g mass (B) is located at the origin (0, 0). (a) Find the x- and y-coordinates of the center of mass. (b) Find the moment of inertia of this system of three connected masses when rotated about the r-axis that passes through mass B? (c) If this system is rotated about the r-axis, from rest to an angular speed of 6 rad/s in time t = 3 s, what...
The four particles shown below are connected by rigid rods of negligible mass where y1 = 6.60 m. The origin is at the center of the rectangle. The system rotates in the xy plane about the z axis with an angular speed of 6.40 rad/s. (a) Calculate the moment of inertia of the system about the z axis.(b) Calculate the rotational kinetic energy of the system.
Two blocks m1=8.1 kg and mass m2
are connected by a massless cord over a massless pulley as shown
below. the block of mass m2 is placed on a rough inclined surface
at an angle (theta = 55)
Two blocks my = 8.1 kg and mass m2 are connected by a massless cord over a massless pulley as shown below. The block of mass mz is placed on a rough inclined surface at an angle = 55°, and a force...
A block of mass m = 2.50 kg is hanging from a massless cord that is wrapped around a pulley (mass = 4.50 kg) as shown in the figure. The cord does not slip relative to the pulley as the block falls. Find the magnitude of the acceleration of the hanging mass. (moment of inertia of the pulley = ½Mr²)