A solid cylinder, a thin hollow cylinder (with circular
cross-section), and a thick hollow cylinder (with a donut cross
section), of equal masses radii, are simultaneously released from
rest at the top of an inclined plane and roll without slipping down
the plane. Which object reaches the bottom of the inclined plane
first?
A) The solid cylinder
B) The thin hollow cylinder
C) The thick hollow cylinder
D) All objects reach the bottom at the same time
Please provide explanation.
) A coaxial cable consists of a cylinder of radius ? surrounding
by a thin cylindrical shell of radius 2?. Suppose the cable is
along the ?-axis. The current density in inner cylinder is ? ⃗= (?0
+ ??)?̂, where ?0 > 0 and ? > 0 are constant. The current in
the outer shell, ?? ,is downward (−? direction). a) Find the
magnetic field in regions 0 < ? < ?,? < ? < 2? and 2?
< ?....
QUESTION 1:
A thin uniform rod has a length of 0.400 m and is rotating in a
circle on a frictionless table. The axis of rotation is
perpendicular to the length of the rod at one end and is
stationary. The rod has an angular velocity of 0.35 rad/s and a
moment of inertia about the axis of 2.90×10−3 kg⋅m2 . A
bug initially standing on the rod at the axis of rotation decides
to crawl out to the other...
One kilogram of water in a piston-cylinder assembly undergoes
the two internally reversible processes in series. P1 =
0.1 MPa, T1 = 100C, s1 = s2 =
7.3164 kJ/kg*K, P2 = 0.5 MPa, T2 =
T3, P3 = 1.5 MPa, and u1 = 2506.7
kJ/kg. Find T2. Legibly show and explain all work,
units, and formulas.
Why is edge bead more common in thick SU-8 compared to thin
Shipley 1827? How can we minimize the edge bead problem (describe
all possible methods)? What kind of issues does edge bead produce
in soft bake and exposure?
why is edge bead more common in thick SU-8 compared to thin
Shipley 1827? How can we minimize the edge bead problem (describe
all possible methods)? What kind of issues does edge bead produce
in soft bake and exposure?
There is an elongated metal cylinder with a thin, hollow radius of R. The net propagation density is 2λ. An infinitely long conductor with a propagation density of λ lies along the central axis of the cylinder. When λ is positive, find the electric field strength at (a) the inner r <R of the cylinder, and (b) the outer r> R of the cylinder. (c) Determine the direction of the electric field for each. (Draw a picture and explain it)
A hollow, thin-walled sphere of mass 11.0 kg and diameter 48.0
cm is rotating about an axle through its center. The angle (in
radians) through which it turns as a function of time (in seconds)
is given by
θ(t)=At2+Bt4,
where A has numerical value 1.20 and Bhas
numerical value 1.60.
At the time 3.00 s , find the angular momentum of the
sphere.
At the time 3.00 s , find the net torque on the sphere.
Needs to document an amusement park ride. For example: Round
rotating cylinder where the floor drops out. The information can
come from any online website. Needs to know the radius and speed at
which the ride needs to rotate so that you don't fall?
Calculate the coefficient of static friction for this ride
also
A compound thin cyclinder has a common diameter of 100 mm and
the inner cylinder has a thickness of 2.5 mm. The radial pressure
between the two cylinders is 200 kPa and the difference between the
two common diameters before shrinkage was 4.305×10-3 mm. Determine
(a) the thickness of the outer cylinder (b) the resultant hoop
stresses in both cylinders if the compound cylinder is subjected to
an internal pressure of 180 kPa. (E = 200 GPa)