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The rigid object shown in the figure consists of three balls, with M = 1.6 [kg],...
The rigid object shown is rotated about an axis perpendicular to the paper and through point...
The rigid object shown is rotated about an axis perpendicular
to the paper and
through point P. The total kinetic energy of the object as it
rotates is equal to 1.7 J.
If M = 1.8 kg and L = 0.8 m, what is the angular velocity of
the object? Neglect
the mass of the connecting rods and treat the masses as
particles.
2M L L M K 24
Four identical particles of mass m each are placed at the vertices of a square with side length a and held by four massless rods, which form the sides of the square. (Use any variable stated above.)
Four identical particles of mass m each are placed at the vertices of a square with side length a and held by four massless rods, which form the sides of the square. (Use any variable stated above.) a. What is the rotational inertia of this rigid body about an axis passes through the midpoint of opposite sides and lies in the plane of the square? b. What is the rotational inertia of this rigid body about an axis that passes through...
Three spheres are arranged in a line and connected to one another by a rigid rod....
Three spheres are arranged in a line and connected to one another by a rigid rod. The masses of the spheres are M, 2M, and 3M, and they are positioned at t x = 2L, respectively. he origin, x L and 2M 3M 1. If the mass of each connecting rod is negligible, what is the moment of inetia about an axis perpendicular to the paper and passing through the central, 2M, mass? Show a symbolic solution below. 2. What...
Four particles with masses 4 kg, 6 kg, 4 kg, and 6 kg are connected by rigid rods of negligible mass as shown.
011. Four particles with masses 4 kg, 6 kg, 4 kg, and 6 kg are connected by rigid rods of negligible mass as shown. The origin is centered on the mass in the lower left corner. The rectangle is 6 m wide and 5 m long. If the system rotates in the xy plane about the z axis (origin, O) with an angular speed of 5 rad/s, calculate the moment of inertia of the system about the z axis. 012. Find the...
The four particles shown below are connected by rigid rods of negligible mass where y1 = 6.60 m.
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.
The three masses shown in (Figure 1) are connected by massless, rigid rods.
The three masses shown in (Figure 1) are connected by massless, rigid rods. Part A Find the coordinates of the center of gravity. Part B Find the moment of inertia about an axis that passes through mass A and is perpendicular to the page. Part C Find the moment of inertia about an axis that passes through masses B and C.
The figure shows a rigid assembly of a thin hoop (of mass m = 0.27 kg...
The figure shows a rigid
assembly of a thin hoop (of mass m = 0.27 kg and radius R = 0.17 m)
and a thin radial rod (of length L = 2R and also of mass m = 0.27
kg). The assembly is upright, but we nudge it so that it rotates
around a horizontal axis in the plane of the rod and hoop, through
the lower end of the rod. Assuming that the energy given to the
assembly in...
015 10.0 points The figure below shows a rigid system which can rotate, with one mass...
015 10.0 points The figure below shows a rigid system which can rotate, with one mass three times the other 4.7 kg 14.1 kg 3.3 m What is the moment of inertia about an axis perpendicular to the paper and through the center of mass? Consider the connecting rod to have negligible mass and treat the masses as point particles Answer in units of kg m2. 016 10.0 points A 0.5 m diameter wagon wheel consists of a thin rim...
In the figure, three 0.05 kg particles have been glued to a rod of length L...
In the figure, three 0.05 kg particles have been glued to a rod
of length L = 12 cm and negligible mass and can rotate
around a perpendicular axis through point O at one end. How much
work is required to change the rotational rate (a)
from 0 to 20.0 rad/s, (b) from 20.0 rad/s to 40.0
rad/s, and (c) from 40.0 rad/s to 60.0 rad/s?
(d) What is the slope of a plot of the assembly's
kinetic energy (in...
QUESTION 1 A dumbell consists of two identical masses of mass M attached to a either...
QUESTION 1 A dumbell consists of two identical masses of mass M attached to a either end of a rod of length 2X and of negligible mass. If the dumbell is rotated about an axis perpendicular to the rod and passing through the middle of the rod, as shown in the diagram. What is the rotational inertia of the dumbell? Axis. -*-X ←-ㄧㄧㄨ 2Mx2 2M2x MX2 M2x QUESTION 2 Two identical uniform thin rods of length 0.542 m and mass...
The rigid object shown is rotated about an axis perpendicular
to the paper and
through point P. The total kinetic energy of the object as it
rotates is equal to 1.7 J.
If M = 1.8 kg and L = 0.8 m, what is the angular velocity of
the object? Neglect
the mass of the connecting rods and treat the masses as
particles.
2M L L M K 24
Three spheres are arranged in a line and connected to one another by a rigid rod. The masses of the spheres are M, 2M, and 3M, and they are positioned at t x = 2L, respectively. he origin, x L and 2M 3M 1. If the mass of each connecting rod is negligible, what is the moment of inetia about an axis perpendicular to the paper and passing through the central, 2M, mass? Show a symbolic solution below. 2. What...
The figure shows a rigid
assembly of a thin hoop (of mass m = 0.27 kg and radius R = 0.17 m)
and a thin radial rod (of length L = 2R and also of mass m = 0.27
kg). The assembly is upright, but we nudge it so that it rotates
around a horizontal axis in the plane of the rod and hoop, through
the lower end of the rod. Assuming that the energy given to the
assembly in...
015 10.0 points The figure below shows a rigid system which can rotate, with one mass three times the other 4.7 kg 14.1 kg 3.3 m What is the moment of inertia about an axis perpendicular to the paper and through the center of mass? Consider the connecting rod to have negligible mass and treat the masses as point particles Answer in units of kg m2. 016 10.0 points A 0.5 m diameter wagon wheel consists of a thin rim...
In the figure, three 0.05 kg particles have been glued to a rod
of length L = 12 cm and negligible mass and can rotate
around a perpendicular axis through point O at one end. How much
work is required to change the rotational rate (a)
from 0 to 20.0 rad/s, (b) from 20.0 rad/s to 40.0
rad/s, and (c) from 40.0 rad/s to 60.0 rad/s?
(d) What is the slope of a plot of the assembly's
kinetic energy (in...
QUESTION 1 A dumbell consists of two identical masses of mass M attached to a either end of a rod of length 2X and of negligible mass. If the dumbell is rotated about an axis perpendicular to the rod and passing through the middle of the rod, as shown in the diagram. What is the rotational inertia of the dumbell? Axis. -*-X ←-ㄧㄧㄨ 2Mx2 2M2x MX2 M2x QUESTION 2 Two identical uniform thin rods of length 0.542 m and mass...
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