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...
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...
From a uniform circular disc of radius R and mass 9 M, a small disc of radius R/3 is removed as . Calculate the moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through the centre of the disc.
From a uniform circular disc of radius R and mass 9 M, a small disc of radius R/3 is removed as . Calculate the moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through the centre of the disc.
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...
If the wire diameter decreases to 1 mm but the length is still
20 m and still carrying the same 20.0 A current, the drift speed of
electrons will (increase / decrease / stay the same),
the current density will (increase / decrease / stay the
same), the resistivity of the wire will (increase /
decrease / stay the same), the resistance of the wire
will (increase / decrease / stay the same), the electric
field inside the wire will (increase / decrease / stay...
Calculate the moment of inertia of a baseball bat for the
following cases. (a) Assume the bat is a wooden rod of uniform
diameter and take the pivot point to be in the middle of the bat,
at the end of the bat, and 5 cm from the end of the handle, where a
batter who "chokes up" on the bat would place his hands.
Hint: Consider the bat as two rods held together at the
pivot point.
a) Estimate...
A helical compression spring is wound using 1 mm-diameter music
wire. The outside coil diameter of the spring is 11 mm. The ends
are squared and there are 12 total turns.
(a) Estimate the torsional yield strength of the wire.
(b) Estimate the static load corresponding to the yield
strength.
(c) Estimate the scale of the spring.
(d) Estimate the solid length of the spring.
(e) Is there any possibility for buckling?