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2.4 On an axis a wheel with radius R is fixed to a smaller wheel with...
5. A uniform circular wheel (I-M R) with radius, R=1.0 m and mass, M-50.0 kg is...
5. A uniform circular wheel (I-M R) with radius, R=1.0 m and mass, M-50.0 kg is spinning at 120 rev/min. At a particular moment of time (that we denote t-0) the wheel is subjected to a frictional force F=20.0 N applied tangentially at its rim. (a) The magnitude of the angular velocity of the wheel (in rad/s) after t=25 s is (b) The number of revolutions done by the wheel after 10 s
(10%) Problem 10: A rotating system consists of four particles, each of mass M = 0.87 kg, fixed at distances from the r...
(10%) Problem 10: A rotating system
consists of four particles, each of mass M = 0.87
kg, fixed at distances from the rotation axis that are all integer
multiples of the length L = 0.21 m.
13% Part (b) Calculate, in
units of kilogram meters squared, the moment of inertia of the
system when each particle is fixed at distance L from the
rotation axis.
13%
Part (c) Enter an expression, in terms of the
quantities defined in the problem,...
Wheel and shaft A wheel is attached to a fixed shaft of radius R, and the...
Wheel and shaft A wheel is attached to a fixed shaft of radius R, and the system is free to rotate without friction. A tape of negligible mass wrapped around the shaft is pulled with a known constant force F. Initially the wheel is at rest. Adieu a length L of tape has unwound, the system is rotating with angular speed omega_0. Find the moment of inertia I_0 of the system.
The drawing shows a bicycle wheel resting against a small step whose height is h =...
The drawing shows a bicycle wheel resting against a small step
whose height is h = 0.126 m. The weight and radius of the
wheel are W = 22.7 N and r = 0.357 m,
respectively. A horizontal force is applied to the
axle of the wheel. As the magnitude of increases, there
comes a time when the wheel just begins to rise up and loses
contact with the ground. What is the magnitude of the force when
this happens?...
A sphere with radius R has charge distribution as given (r,)=k*cos() . Calculate electric dipole moment.(Hint:remember...
A sphere with radius R has charge distribution as given
(r,)=k*cos()
.
Calculate electric dipole moment.(Hint:remember symmetry of charge
distribution)
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
A car at speed v takes a turn of radius R on a banked road of...
A car at speed v takes a turn of radius R on a banked road of
angle
. What is the angle that the road must be banked ti bit require
the driver to turn the steering wheel? For circular motion, the
centripetal acceleration is
Now the road has a coefficient of friction of
with
. What is the maximum velocity that the driver can take the
turn?
We were unable to transcribe this imageWe were unable to transcribe this...
We are given a thin wheel of radius r as shown in the figure. The mass...
We are given a thin wheel of radius r as shown in the figure. The mass of the wheel is M and the mass of the spokes is negligible. The wheel rotates about its axis without translational motion at 2 cycles/s. What is the radian frequency of the wheel? If this wheel is now rolling along a road at 3 m/s, then, noting that there is both rotational and translational motion in the wheel, what is its total kinetic energy?
A bead of mass m slides frictionlessly on a circle of wire with radius R. The...
A bead of mass m slides frictionlessly on a circle of wire with radius R. The circle stands up in a vertical plane and rotates about the z-axis with constant angular velocity . Write down the Lagrangian. Find the equations of motion. For an angular velocity greater than some critical angular velocity , the bead will experience small oscillations about some stable equilibrium point . Find and (). We were unable to transcribe this imageWe were unable to transcribe this...
The figure shows two nonconducting spherical shells fixed in place. Shell 1 has uniform surface charge...
The figure shows two nonconducting spherical shells fixed in
place. Shell 1 has uniform surface charge density +5.4 C/m2 on
its outer surface and radius 4.0 cm; shell 2 has uniform surface
charge density +3.0 C/m2 on
its outer surface and radius 2.4 cm; the shell centers are
separated by L = 11.7 cm. What is the x-component (with sign) of
the net electric field at x = 2.4 cm?
We were unable to transcribe this imageWe were unable to...
Wheel B of radius R rolls to the right on a rough road and wheel A...
Wheel B of radius R rolls to the right on a rough road and wheel A of radius is connected to B by a straight and rigid bar AC of length L where is the center of wheel A and C is at the top of wheel B. At the position shown where diameter CD of wheel B is perpendicular to the ground, wheel B has an angular velocity and an angular acceleration . Assume that both wheel roll without...
5. A uniform circular wheel (I-M R) with radius, R=1.0 m and mass, M-50.0 kg is spinning at 120 rev/min. At a particular moment of time (that we denote t-0) the wheel is subjected to a frictional force F=20.0 N applied tangentially at its rim. (a) The magnitude of the angular velocity of the wheel (in rad/s) after t=25 s is (b) The number of revolutions done by the wheel after 10 s
(10%) Problem 10: A rotating system
consists of four particles, each of mass M = 0.87
kg, fixed at distances from the rotation axis that are all integer
multiples of the length L = 0.21 m.
13% Part (b) Calculate, in
units of kilogram meters squared, the moment of inertia of the
system when each particle is fixed at distance L from the
rotation axis.
13%
Part (c) Enter an expression, in terms of the
quantities defined in the problem,...
Wheel and shaft A wheel is attached to a fixed shaft of radius R, and the system is free to rotate without friction. A tape of negligible mass wrapped around the shaft is pulled with a known constant force F. Initially the wheel is at rest. Adieu a length L of tape has unwound, the system is rotating with angular speed omega_0. Find the moment of inertia I_0 of the system.
The drawing shows a bicycle wheel resting against a small step
whose height is h = 0.126 m. The weight and radius of the
wheel are W = 22.7 N and r = 0.357 m,
respectively. A horizontal force is applied to the
axle of the wheel. As the magnitude of increases, there
comes a time when the wheel just begins to rise up and loses
contact with the ground. What is the magnitude of the force when
this happens?...
A sphere with radius R has charge distribution as given
(r,)=k*cos()
.
Calculate electric dipole moment.(Hint:remember symmetry of charge
distribution)
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
A car at speed v takes a turn of radius R on a banked road of
angle
. What is the angle that the road must be banked ti bit require
the driver to turn the steering wheel? For circular motion, the
centripetal acceleration is
Now the road has a coefficient of friction of
with
. What is the maximum velocity that the driver can take the
turn?
We were unable to transcribe this imageWe were unable to transcribe this...
The figure shows two nonconducting spherical shells fixed in
place. Shell 1 has uniform surface charge density +5.4 C/m2 on
its outer surface and radius 4.0 cm; shell 2 has uniform surface
charge density +3.0 C/m2 on
its outer surface and radius 2.4 cm; the shell centers are
separated by L = 11.7 cm. What is the x-component (with sign) of
the net electric field at x = 2.4 cm?
We were unable to transcribe this imageWe were unable to...
Wheel B of radius R rolls to the right on a rough road and wheel A of radius is connected to B by a straight and rigid bar AC of length L where is the center of wheel A and C is at the top of wheel B. At the position shown where diameter CD of wheel B is perpendicular to the ground, wheel B has an angular velocity and an angular acceleration . Assume that both wheel roll without...
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