A rigid, uniform bar with mass m and length b rotates about the axis passing through the midpoint of the bar perpendicu...
Express your answer in terms of m, b, v, and appropriate constants.
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A rigid, uniform bar with mass m and length b rotates about the axis passing through the midpoint of the bar perpendicu...
a uniform 172 g meter stick rotates about an axis perpendicular to the stick passing through...
a uniform 172 g meter stick rotates about an axis perpendicular to the stick passing through its center with an angular speed of 6.25 rad/s. (a) What is the magnitude of the angular momentum of the stick? (b) What would be the angular speed of the meter stick if it is rotated with the same angular momentum as in part (a) but about an axis of rotation situated at one end of the meter stick and parallel to the axis...
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 slender, uniform metal rod of mass M and length l is pivoted without friction about an axis through its midpoint and p...
A slender, uniform metal rod of mass M and length l is pivoted
without friction about an axis through its midpoint and
perpendicular to the rod. A horizontal spring, assumed massless and
with force constant k, is attached to the lower end of the rod,
with the other end of the spring attached to a rigid support.
(Figure 1)
2. Find the torque τ due to the spring. Assume that θ is small
enough that the spring remains effectively horizontal...
Learning Goal: To learn the definition andapplications of angular momentum including its relationship totorque. By...
Learning Goal: To learn the definition andapplications of angular momentum including its relationship totorque. By now, you should be familiar with the concept ofmomentum, defined as the product of an object's mass andits velocity: . You may have noticed that nearly every translationalconcept or equation seems to have an analogous rotationalone. So, what might be the rotational analogue of momentum? Just as the rotational analogue of force , called thetorque , isdefined by the formula , the rotational analogue of...
The uniform bar shown in the diagram has a length of 0.80 m. The bar begins to rotate from rest in the horizontal...
The uniform bar shown in the diagram has a length of 0.80 m. The
bar begins to rotate from rest in the horizontal plane about the
axis passing through its left end. What will be the magnitude of
the angular momentum L of the bar 6.0 s after the motion has begun?
The forces acting on the bar are shown.
Express your answer in kg*m2/s
A light rod of length ℓ = 1.00 m rotates about an axis perpendicular to its...
A light rod of length ℓ = 1.00 m rotates about an axis
perpendicular to its length and passing through its center as in
the figure below. Two particles of masses m1 =
4.80 kg and m2 = 3.00 kg are connected to the
ends of the rod.
(a) Neglecting the mass of the rod, what is the system's kinetic
energy when its angular speed is 2.20 rad/s?
J
(b) Repeat the problem, assuming the mass of the rod is...
In the figure, a thin uniform rod (mass 4.6 kg, length 5.0 m) rotates freely about...
In the figure, a thin uniform rod (mass 4.6 kg, length 5.0 m) rotates freely about a horizontal axis A that is perpendicular to the rod and passes through a point at a distance d = 1.4 m from the end of the rod. The kinetic energy of the rod as it passes through the vertical position is 18 J. (a) what is the rotational inertia of the rod about axis A? (b) what is the (linear) speed of the...
1- 5. Two particles each of mass m are fixed at the end of a rigid...
1- 5. Two particles each of mass m are fixed at the end of a rigid rod of length 2a. This rod lies in the xy plane and is free to rotate in that plane about an axis passing through the midpoint of the rod and perpendicular to it (that is, parallel to the z-axis). Neglect the inertial properties of the rod in the rest of this question z-axis 1. Derive the classical expression for the kinetic energy of the...
1- 5. Two particles each of mass m are fixed at the end of a rigid...
1- 5. Two particles each of mass m are fixed at the end of a rigid rod of length 2a. This rod lies in the xy plane and is free to rotate in that plane about an axis passing through the midpoint of the rod and perpendicular to it (that is, parallel to the z-axis). Neglect the inertial properties of the rod in the rest of this question z-axis 1. Derive the classical expression for the kinetic energy of the...
A uniform solid disk of mass m = 3.06 kg and radius r = 0.200 m...
A uniform solid disk of mass m = 3.06 kg and radius r = 0.200 m rotates about a fixed axis perpendicular to its face with angular frequency 6.09 rad/s. (a) Calculate the magnitude of the angular momentum of the disk when the axis of rotation passes through its center of mass. kg · m2/s (b) What is the magnitude of the angular momentum when the axis of rotation passes through a point midway between the center and the rim?...
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 slender, uniform metal rod of mass M and length l is pivoted
without friction about an axis through its midpoint and
perpendicular to the rod. A horizontal spring, assumed massless and
with force constant k, is attached to the lower end of the rod,
with the other end of the spring attached to a rigid support.
(Figure 1)
2. Find the torque τ due to the spring. Assume that θ is small
enough that the spring remains effectively horizontal...
The uniform bar shown in the diagram has a length of 0.80 m. The
bar begins to rotate from rest in the horizontal plane about the
axis passing through its left end. What will be the magnitude of
the angular momentum L of the bar 6.0 s after the motion has begun?
The forces acting on the bar are shown.
Express your answer in kg*m2/s
A light rod of length ℓ = 1.00 m rotates about an axis
perpendicular to its length and passing through its center as in
the figure below. Two particles of masses m1 =
4.80 kg and m2 = 3.00 kg are connected to the
ends of the rod.
(a) Neglecting the mass of the rod, what is the system's kinetic
energy when its angular speed is 2.20 rad/s?
J
(b) Repeat the problem, assuming the mass of the rod is...
In the figure, a thin uniform rod (mass 4.6 kg, length 5.0 m) rotates freely about a horizontal axis A that is perpendicular to the rod and passes through a point at a distance d = 1.4 m from the end of the rod. The kinetic energy of the rod as it passes through the vertical position is 18 J. (a) what is the rotational inertia of the rod about axis A? (b) what is the (linear) speed of the...
1- 5. Two particles each of mass m are fixed at the end of a rigid rod of length 2a. This rod lies in the xy plane and is free to rotate in that plane about an axis passing through the midpoint of the rod and perpendicular to it (that is, parallel to the z-axis). Neglect the inertial properties of the rod in the rest of this question z-axis 1. Derive the classical expression for the kinetic energy of the...
1- 5. Two particles each of mass m are fixed at the end of a rigid rod of length 2a. This rod lies in the xy plane and is free to rotate in that plane about an axis passing through the midpoint of the rod and perpendicular to it (that is, parallel to the z-axis). Neglect the inertial properties of the rod in the rest of this question z-axis 1. Derive the classical expression for the kinetic energy of the...
A uniform solid disk of mass m = 3.06 kg and radius r = 0.200 m rotates about a fixed axis perpendicular to its face with angular frequency 6.09 rad/s. (a) Calculate the magnitude of the angular momentum of the disk when the axis of rotation passes through its center of mass. kg · m2/s (b) What is the magnitude of the angular momentum when the axis of rotation passes through a point midway between the center and the rim?...
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