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A rectangle has a mass of 872 g and measures 17.4 cm on each side. It...
1. Consider a uniform rectangular plate with mass M, side lengths a and 2a, and negligible...
1. Consider a uniform rectangular plate with mass M, side lengths a and 2a, and negligible thickness. In the following, ignore gravitational and frictional forces. a. Identify the principal axes and derive the principal moments of inertia 2a b. The plate is made to rotate with a constant angular velocity around an axis coincident with a diagonal of the rectangle as shown. Express the angular momentum vector in terms of the body coordinate system consisting of the body's principal axes...
Given • Hollow hoop has a mass M and radius R. It is free to rotate...
Given
• Hollow hoop has a mass M and radius R. It is free to rotate about
an axis perpendicular to the page and the edge of the hoop.
Released frm rest, passes through horizontal in final state, and
rotates right
Question
A. Direction of final angular velocity and acceleration
vector?
B. Rotational inertia of hoop about axis before it is released
Do the following increase, decrease,, or remain the
same (Between final and initial)
C. Magnitude of gravitational PE...
Three masses are connected by rigid massless rods, as shown. The 200-g mass (B) is located...
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...
A rod without a mass is 2 meters in length. On each end of the rod...
A rod without a mass is 2 meters in length. On each end of the rod is a 2kg mass. (a) Calculate the moment of inertia of this rod about an axis that is perpendicular to the center of the rod. (b) Find its angular momentum if the rod rotates through that same axis with an angular velocity of 10 rad/s.
Please help Points: 10 12) A 18 kg solid disk pulley of radius 0.11 m rotates...
Please help
Points: 10 12) A 18 kg solid disk pulley of radius 0.11 m rotates about an axis through its center (a) What is its moment of inertia? (b) Starting from rest, a torque of 0.22 m-N will produce what angular acceleration? FIGURE 8-5 13) A solid disk with diameter 2.00 meters and mass 4.0 kg freely rotates about a vertical axis at 36.rpm. A 0.50 kg hunk of bubblegum is dropped onto the disk and sticks to the...
A grinding wheel is a uniform cylinder with a radius of 8.50 cm and a mass of 0.480 kg . Calculate the applied torque needed to accelerate it from rest to 1750 rpm in 5.10 s . Take into account a frictional torque that has been measured to slow down the w
A grinding wheel is a uniform cylinder with a radius of 8.50 cm and a mass of 0.480 kg. Calculate the applied torque needed to accelerate it from rest to 1750 rpm in 5.10s.Take into account a frictional torque that has been measured to slow down the wheel from 1500 rpm to rest in 53.0s. Part A was to calculate the moment of inertia about its center. The answer was 1.73x10-3
A DVD of mass M = 20.0 g = 0.0200 kg and radius R = 6.00...
A DVD of mass M = 20.0 g = 0.0200 kg and radius R = 6.00 cm = 0.0600 m is rotating freely around a fixed vertical axis without any friction. Its initial angular velocity is ?1= 102 rad/s. A bug of mass m = 6.00 g = 0.00600 kgdrops onto the center of the rotating DVD. The bug then walks radially outward toward the edge of the DVD without slipping until it reaches a distance r from the center,...
positive direction) Multiple Choice 15% each! 1. A solid uniform sphere of mass 1.85 kg and...
positive direction) Multiple Choice 15% each! 1. A solid uniform sphere of mass 1.85 kg and diameter 45.0 cm spins about an axle through its center. Starting with an angular velocity of 2.40 revisit stops after turning through 18.2 rev with uniform acceleration. The net torque acting on this sphere as it is slowing down is dosest to (A) 0.0466 Nm (B) 0.00593 Nm (C) 0.0620 Nm (D) 0.149 Nm (E) 0.0372 Nm 2. If the torque on an object...
m v Before After A child with mass m runs with speed v toward a merry...
m v Before After A child with mass m runs with speed v toward a merry go-round that has a moment of inertia I and radius r and jumps onto its rim as shown in the figure above. The merry-go-round is initially at rest. The merry-go-round rotates about its center with no friction. The magnitude of the final angular velocity is w. Which one of the following statements is true? 7.AO The magnitude of the final angular momentum is 2...
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...
1. Consider a uniform rectangular plate with mass M, side lengths a and 2a, and negligible thickness. In the following, ignore gravitational and frictional forces. a. Identify the principal axes and derive the principal moments of inertia 2a b. The plate is made to rotate with a constant angular velocity around an axis coincident with a diagonal of the rectangle as shown. Express the angular momentum vector in terms of the body coordinate system consisting of the body's principal axes...
Given
• Hollow hoop has a mass M and radius R. It is free to rotate about
an axis perpendicular to the page and the edge of the hoop.
Released frm rest, passes through horizontal in final state, and
rotates right
Question
A. Direction of final angular velocity and acceleration
vector?
B. Rotational inertia of hoop about axis before it is released
Do the following increase, decrease,, or remain the
same (Between final and initial)
C. Magnitude of gravitational PE...
A rod without a mass is 2 meters in length. On each end of the rod is a 2kg mass. (a) Calculate the moment of inertia of this rod about an axis that is perpendicular to the center of the rod. (b) Find its angular momentum if the rod rotates through that same axis with an angular velocity of 10 rad/s.
Please help
Points: 10 12) A 18 kg solid disk pulley of radius 0.11 m rotates about an axis through its center (a) What is its moment of inertia? (b) Starting from rest, a torque of 0.22 m-N will produce what angular acceleration? FIGURE 8-5 13) A solid disk with diameter 2.00 meters and mass 4.0 kg freely rotates about a vertical axis at 36.rpm. A 0.50 kg hunk of bubblegum is dropped onto the disk and sticks to the...
positive direction) Multiple Choice 15% each! 1. A solid uniform sphere of mass 1.85 kg and diameter 45.0 cm spins about an axle through its center. Starting with an angular velocity of 2.40 revisit stops after turning through 18.2 rev with uniform acceleration. The net torque acting on this sphere as it is slowing down is dosest to (A) 0.0466 Nm (B) 0.00593 Nm (C) 0.0620 Nm (D) 0.149 Nm (E) 0.0372 Nm 2. If the torque on an object...
m v Before After A child with mass m runs with speed v toward a merry go-round that has a moment of inertia I and radius r and jumps onto its rim as shown in the figure above. The merry-go-round is initially at rest. The merry-go-round rotates about its center with no friction. The magnitude of the final angular velocity is w. Which one of the following statements is true? 7.AO The magnitude of the final angular momentum is 2...
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