Consider a uniformly beaded string with N beads with has both ends fixed. Assume
that the tension in the string is T, the mass of each bead is m and the beads are
spaced a distance l apart. Taking the trial solution for the ith normal mode as
yi = A sin(kxi) cos(ωt − φ), determine the dispersion relation ω(k).
How long will it take a drop of dextrose from a bottle 2.30 m high hit the floor?
A 60-kg high-diver starts his dive at a height of 20 m.
a. What is his total mechanical energy at the start of his dive?
b. What is his velocity halfway into the dive?
c. What is his velocity just before hitting the water below?
A 20-kg child on a swing can make a maximum angle of 400 with respect to the vertical. , what is the child’s maximum speed if the chains of the swing have a length of 4 m?
A particle starts from the origin at t
t = 0 with an initial velocity of 4.9 m/s
m/s along the positive x
x axis.If the acceleration is (-2.9 i
^
i^ + 4.7 j
^
j^)m/s
2
m/s2, determine (a)the velocity and (b)position of the particle at the moment it reaches its maximum x
x coordinate.
vx,vy =? rx,ry=?
1.57 What is the maximum distance from which a sailor on top of the mast of ship 1, at 34 m above the ocean’s surface, can see another sailor on top of the mast of ship 2, at 26 m above the ocean’s surface?
This problem is too hard.
In the student's manual solutions there is 39km as an answer for this problem.
Please EXPLAIN to me why is the distance 39km.
I think the distance is close to 29km.
and
I got a different answer that the distance is 10km
Please provide me the answer.
THANK YOU VERY MUCH.
An object in circular motion is known to have an angular velocity of 10 rad/s. The net acceleration of the object is 40 m/s^2 with an angle of 30 degrees with respect to the tangential acceleration. Solve for the following:
a. Tangential acceleration of the object.
b. Tangential velocity of the object.
c. The time it takes to complete 1 cycle/revolution.
d. The net force on the object if its mass is 1200g.
a. An object is in equilibrium when the forces acting on the object are such that there is no tendency for the object to move. The state of equilibrium of an object can be divided into three groups. Explain the difference between these groups.
From the time of the call, the boat was carried away by the sea currents 70.0 km in a direction of 80.0° East of North. The boat was later found 100 km, 25.0° South of East away from the Coast Guard station. At the time of distress call, what is the location of the boat from the Coast Guard station?
.
A 14-kg object is dropped from rest. How far will it be in 3 seconds?