A solid right circular cone whose base diameter 2r is equal to its altitude is spinnig...
A solid right circular cone whose base diameter 2r is equal to
its altitude is spinnig as a top on a horizontal plane. Assumting
that the total spin is 
, and the symmetry makes an angle of 45o with the
horizontal, find the slower rate of uniform precession for the
following cases:
(a) the vertex of the cone is fixed
(b) the cone can slide without friction
Homework Answers
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A solid right circular cone whose base diameter 2r is equal to
its altitude is spinnig...
(1 point) Consider a right circular solid cone S standing on its tip at the origin. The height of...
(1 point) Consider a right circular solid cone S standing on its tip at the origin. The height of the cone is 3 and the radius of the top is 8. Find the centroid of the cone by following the steps below. Assume the density of the cone is constant 1. a. The mass of the cone is m Jls 1 d(x, y, 2) b. Let Q(2) be the disk that is the intersection of the cone with the horizontal...
1. Consider a solid cone with uniform density p, height h, and circular base with radius R (hence mass M,sphR2). Let the vertex of the cone be the origin ofthe body frame. By symmetry, choose bas...
1. Consider a solid cone with uniform density p, height h, and circular base with radius R (hence mass M,sphR2). Let the vertex of the cone be the origin ofthe body frame. By symmetry, choose basis vectors e for the body frame such that the inertia tensor I, is diagonal. Will this rigid body with this body origin be an asymmetric top, a symmetric top, or a spherical top? Calculate the inertia tensor in this basis How will the inertia...
1. An imaginary right circular cone (closed surface) that has a base angle 0 and a...
1. An imaginary right circular cone (closed surface) that has a base angle 0 and a base radius (Figure 1), is in a region of uniform electric field E (the electric field lines are vertical and parallel to the axis of the cone ). 1.1. What is the flow through the chronic surface (top of the cone)? 1.2. What is the total flow through the cone (closed surface)? Figure
4. Find the center of mass of a homogeneous solid right circular cone if the density...
4. Find the center of mass of a homogeneous solid right circular cone if the density varies as the square of the distance. (from apex) 5. Find the center of gravity of a very thin right circular conical shell of base-radius r and altitude h.
A truncated solid cone is of circular cross section, and its diameter is related to the...
A truncated solid cone is of circular cross section, and its
diameter is related to the axial coordinate by an expression of the
formD=ax3/2, wherea=1.0 m-1/2.
The sides are well insulated, while the top surface of the cone
atx1is maintained atT1and the bottom surface atx2is maintained
atT2.
What is the rate of heat transfer across the cone if it is
constructed of pure aluminum withx1=0.075 m,T1=240°C,x2=0.225 m,
andT2=20°C? Evaluate the properties of aluminum atT¯=333 K.
Physics help A 30-cm tall solid cylinder of diameter 20 cm is standing on the ground....
Physics help
A 30-cm tall solid cylinder of diameter 20 cm is standing on the ground. If the force exerted on the ground by the weight of the cylinder is 500 N, what is the density of the material of the cylinder? A solid sphere of mass M and radius R (l=(2/5)MR^2) is placed on lop of a friction less inclined The plane is 7.0 m long and is making an angle of 35 degrees from the horizontal. Assuming the...
1. A pole is held vertically by attaching wires at a height of 13.4 m above...
1. A pole is held vertically by attaching wires at a height of 13.4 m above the ground. The other end of each wire is anchored in the ground at a distance of 9.54 m from the base of the pole. The pole makes a right angle with the ground. What is the length of each wire? 2. A bug crawls 2.25 m along the base of a wall. Upon reaching a corner, the bug's direction of travel changes from...
(1 point) Consider a right circular solid cone S standing on its tip at the origin. The height of the cone is 3 and the radius of the top is 8. Find the centroid of the cone by following the steps below. Assume the density of the cone is constant 1. a. The mass of the cone is m Jls 1 d(x, y, 2) b. Let Q(2) be the disk that is the intersection of the cone with the horizontal...
1. Consider a solid cone with uniform density p, height h, and circular base with radius R (hence mass M,sphR2). Let the vertex of the cone be the origin ofthe body frame. By symmetry, choose basis vectors e for the body frame such that the inertia tensor I, is diagonal. Will this rigid body with this body origin be an asymmetric top, a symmetric top, or a spherical top? Calculate the inertia tensor in this basis How will the inertia...
1. An imaginary right circular cone (closed surface) that has a base angle 0 and a base radius (Figure 1), is in a region of uniform electric field E (the electric field lines are vertical and parallel to the axis of the cone ). 1.1. What is the flow through the chronic surface (top of the cone)? 1.2. What is the total flow through the cone (closed surface)? Figure
4. Find the center of mass of a homogeneous solid right circular cone if the density varies as the square of the distance. (from apex) 5. Find the center of gravity of a very thin right circular conical shell of base-radius r and altitude h.
A truncated solid cone is of circular cross section, and its
diameter is related to the axial coordinate by an expression of the
formD=ax3/2, wherea=1.0 m-1/2.
The sides are well insulated, while the top surface of the cone
atx1is maintained atT1and the bottom surface atx2is maintained
atT2.
What is the rate of heat transfer across the cone if it is
constructed of pure aluminum withx1=0.075 m,T1=240°C,x2=0.225 m,
andT2=20°C? Evaluate the properties of aluminum atT¯=333 K.
Physics help
A 30-cm tall solid cylinder of diameter 20 cm is standing on the ground. If the force exerted on the ground by the weight of the cylinder is 500 N, what is the density of the material of the cylinder? A solid sphere of mass M and radius R (l=(2/5)MR^2) is placed on lop of a friction less inclined The plane is 7.0 m long and is making an angle of 35 degrees from the horizontal. Assuming the...
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