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Two equal masses of 3.0 kg are at the ends of a 90-cm-long massless rod. The...
Two equal masses of 3.0 kg are at the ends of a 1.00 kg mass and...
Two equal masses of 3.0 kg are at the ends of a 1.00 kg mass and 120.0 cm-long rod. The rod spins at 30.0 rpm about an axis through its midpoint. Suddenly, a compressed gas expands the rod out to a length of 180 cm. What is the rpm of the system after the expansion? Find speed of masses before and after expansion. Please help with formulas.
A massless rod with length L is attached to two springs at its two masses (both...
A massless rod with length L is
attached to two springs at its two masses (both m) at its two ends.
The masses are connected to springs. The springs can move in the
horizontal and vertical directions as shown in the figure and they
both have a stiffness k. Note that gravity acts. Assume the springs
are un-stretched when the rod is vertical. Find the equation of
motion for the system using 1. Newton’s second law 2. Conservation
of energy....
4. (a) Three point masses are attached to a massless rigid rod. Mass m,-1.0 kg is...
4. (a) Three point masses are attached to a massless rigid rod. Mass m,-1.0 kg is located at x = 1.0 cm, mass m2-2.0 kg at x = 2.0 cm and mass m,-3.0 kg at x-3.0 m. Find the center of mass of the system. (b) Find the center of mass of the four masses as below. mi 2.0 kg at point (1,2) cm; m 3.0 kg at point (2,-3) cm; m -4.0 kg at point (3,-4) cm and m...
A light, rigid rod of length ℓ=1.00 m joins two particles, with masses m₁=4.00 kg and m₂=3.00 kg
(a) A light, rigid rod of length ℓ=1.00 m joins two particles, with masses m₁=4.00 kg and m₂=3.00 kg, at its ends. The combination rotates in the x y-plane about a pivot through the center of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 7.60 m / s. (Enter the magnitude to at least two decimal places in kg · m² / s.)(b) What If? What...
(a) A light, rigid rod of length ℓ=1.00 m joins two particles, with masses m₁=4.00 kg and m₂=3.00 kg
(a) A light, rigid rod of length ℓ=1.00 m joins two particles, with masses m₁=4.00 kg and m₂=3.00 kg, at its ends. The combination rotates in the x y-plane about a pivot through the center of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 7.60 m / s. (Enter the magnitude to at least two decimal places in kg · m² / s.)(b) What If? What...
2. Two point masses m and m2 are separated by a massless rod of length L....
2. Two point masses m and m2 are separated by a massless rod of length L. (a) Write an expression for the moment of inertia I about an axis perpendicular to the rod and passing through it a distance x from mass mi. (b) Calculate dl/dx and show that I is at a minimum when the axis passes through the center of mass of the system.
6. Spinning Dumbbell Two small masses (m = 3.0 kg; M = 5.0 kg) are attached...
6. Spinning Dumbbell Two small masses (m = 3.0 kg; M = 5.0 kg)
are attached to the ends of a thin light rod that isL = 16.0 cm
long. The dumbbell is placed vertically at the edge of a
frictionless table as shown in the diagram. The rod is struck at a
height of ? = 12.0 cm above the center of mass of the lower mass,
m, with an impulsive blow that lasts½ millisecond, and that rises
linearly...
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...
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)....
PLEASE USE THE NUMBERS! A 16-g coin that has a diameter equal to 1.7 cm is...
PLEASE USE THE NUMBERS!
A 16-g coin that has a diameter equal to 1.7 cm is spinning at
12 rev/s about a fixed vertical axis. The coin is spinning on edge
with its center directly above the point of contact with the
tabletop. As you look down on the tabletop, the coin spins
clock-wise. Its moment of inertia about an axis through its
diameter is given in the figure below. Model the coin as a cylinder
of length L and...
A massless rod with length L is
attached to two springs at its two masses (both m) at its two ends.
The masses are connected to springs. The springs can move in the
horizontal and vertical directions as shown in the figure and they
both have a stiffness k. Note that gravity acts. Assume the springs
are un-stretched when the rod is vertical. Find the equation of
motion for the system using 1. Newton’s second law 2. Conservation
of energy....
4. (a) Three point masses are attached to a massless rigid rod. Mass m,-1.0 kg is located at x = 1.0 cm, mass m2-2.0 kg at x = 2.0 cm and mass m,-3.0 kg at x-3.0 m. Find the center of mass of the system. (b) Find the center of mass of the four masses as below. mi 2.0 kg at point (1,2) cm; m 3.0 kg at point (2,-3) cm; m -4.0 kg at point (3,-4) cm and m...
2. Two point masses m and m2 are separated by a massless rod of length L. (a) Write an expression for the moment of inertia I about an axis perpendicular to the rod and passing through it a distance x from mass mi. (b) Calculate dl/dx and show that I is at a minimum when the axis passes through the center of mass of the system.
6. Spinning Dumbbell Two small masses (m = 3.0 kg; M = 5.0 kg)
are attached to the ends of a thin light rod that isL = 16.0 cm
long. The dumbbell is placed vertically at the edge of a
frictionless table as shown in the diagram. The rod is struck at a
height of ? = 12.0 cm above the center of mass of the lower mass,
m, with an impulsive blow that lasts½ millisecond, and that rises
linearly...
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...
PLEASE USE THE NUMBERS!
A 16-g coin that has a diameter equal to 1.7 cm is spinning at
12 rev/s about a fixed vertical axis. The coin is spinning on edge
with its center directly above the point of contact with the
tabletop. As you look down on the tabletop, the coin spins
clock-wise. Its moment of inertia about an axis through its
diameter is given in the figure below. Model the coin as a cylinder
of length L and...
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