What is the moment of inertia of a solid iron sphere 20 inches
in diameter about...
What is the moment of inertia of a solid iron sphere 20 inches
in diameter about an axis passing through the sphere half way from
its center to the surface (you will have to look up its density)?
If the sphere rolls down an incline plane that makes an angle 20
degrees with the horizontal, what will be its acceleration?
b. Derive the formula for acceleration of a circular disk that
rolls down an inclined plane that makes an angle θ with the
horizontal. (draw a diagram and say in words what you are
doing)
A. What is the moment of inertia of a solid iron sphere 20
inches in diameter about an axis passing through the sphere half
way from its center to the surface (you will have to look up its
density)? If the sphere rolls down an incline plane that makes an
angle 20 degrees with the horizontal, what will be its
acceleration?
B. Derive the formula for acceleration of a circular disk that
rolls down an inclined plane that makes an...
Rotational Inertia –Rolling Kinetic Energy.
A solid sphere, a hollow sphere, a hollow cylinder, and a solid
cylinder, all of with same mass (M=0.25 kg ) and radius(R= 0.20 m)
– are placed at the top of an incline at height (h= 1.5 m ). All
the objects are released from rest at the same moment to roll down
without slipping.
Hint: search for the rotational inertia formula for each of the
rolling object first. Then calculate each of them...
1)calculate the polar moment of inertia of a wire with a 2 mm
diameter
2) what is the difference between the elastic modulus (E) and
the shear Modulus (G) ?
1. Determine the moment of inertia of a 7.70 kgkg
sphere of radius 0.779 mm when the axis of rotation is through its
center.
2. A merry-go-round accelerates from rest to 0.70
rad/srad/s in 35 ss. Assuming the merry-go-round is a uniform disk
of radius 8.0 mm and mass 3.20×104 kgkg , calculate the
net torque required to accelerate it.
3. A centrifuge rotor has a moment of inertia of
4.00×10−2 kg⋅m2kg⋅m2 . How much energy is required to
bring...
a ) The moment of inertia of a rigid body, of mass 40 kg, about
an axis through a point at 0.5 m from the mass centre, is 110
kg.m2. What is the moment inertia of the same body about an axis,
parallel to the first, at a distance 1.0 m from the mass
centre?
[4 marks]
i) A metal hoop, with mass m concentrated along its
rim, has radius r, and rolls on a fixed surface without
slipping. It...
A toy top with a spool of diameter 5.0cm has a moment of inertia of 3.0x10^-5kg x m^2 about its rotation axis. To get the top spinning, its string is pulled with a tension of .30 N. How long does it take for the top to complete the first five revolutions? The string is long enough that it is wrapped around the top more than five turns
Find the mass, the center of mass, and the moment of inertia
about the z-axis for the hemisphere x^2+y^2+z^2=1, z >(greater
than or equal to) 0 if density is sqrt(x^2+y^2+z^2)
2. Which has more rotational inertia: A solid, uniform sphere of
mass 100kg, or a mostly hollow spherical shell of mass 100kg?
a.They both have the same rotational inertia
b.Solid Sphere
c.Hollow Sphere
3.If a bicycle starts from rest and is pedaled normally until
the bike is moving at 6 meters per second across level ground, what
kinds of energy have its tires been given? (Select all that
apply)
a.Rotational Kinetic Energy
b.Translational Kinetic Energy
c.Gravitational Potential Energy
d.Elastic Potential...
A 1.5 kg solid brass sphere is initially at a temperature of
15.0°C, the diameter of the brass sphere at this initial
temperature is 6.50 cm.
(a) If the volume of the sphere is to increase by 2.50%, what is
the final temperature of the brass sphere?
(b) If the sphere is heated to 225°C. What is the change in the
radius of the sphere?