Question

A
circle has radius 2 and center (0, 0). A point P begins at (2, 0)
and moves along the circumference of this circle in the
counterclockwise direction. It moves with constant angilar velocity
2.7 radians per second.

Let s be the arc in standard position whose terminal point is
P.

What is s in terms of t, the number of seconds since P began
moving?

What are the coordinates of P in terms of s?

What are the coordinates of P in terms of t?

Answer #1

A rock is tied to a string and spun in a circle of radius 1.4 m
as shown in the figure below. The speed of the rock is 13 m/s.
(c) What is the total force on the rock directed toward the
center of its circular path? Express your answer in terms of the
(unknown) tension T in the string. (Use the following as necessary:
?.) F = (d) Apply Newton's second law along both the vertical and
the horizontal...

Consider the unit circe C (the circle with center the origin in
the plane and radius 1). Let S = {α : 2α < (the circumference of
C)} . Show that S is bounded above. Let p be the least upper bound
of S. Say explicitly what the number p is. This exercise works in
the real number system, but not in the rational number system.
Why?

A particle of mass m moves in a circle of radius R at a constant
speed v as shown in the figure. The motion begins at point Q at
time t = 0. Determine the angular momentum of the particle about
the axis perpendicular to the page through point P as a function of
time.

What are the equations of the lines that pass through the point
P(-3,-2) and the circle with radius r = 5 and center M(4,-1)?

What are the equations of the lines that pass through the point
P(-3,-2) and the circle with radius r = 5 and center M(4,-1)?

An automobile moves on a circular track of radius 1.04 km. It
starts from rest from the point (x, y) = (1.04 km, 0 km) and moves
counterclockwise with a steady tangential acceleration such that it
returns to the starting point with a speed of 29.2 m/s after one
lap. (The origin of the Cartesian coordinate system is at the
center of the circular track.)
What are the car's position and velocity vectors when it is
one-sixth of the way...

PLEASE ANSWER BOTH QUESTIONS!
(1) A 2.4 kg particle moves along an x axis, being
propelled by a variable force directed along that axis. Its
position is given by x = 3.0 m + (4.0 m/s)t +
ct2 - (1.8
m/s3)t3, with x in meters
and t in seconds. The factor c is a constant. At
t = 3.0 s, the force on the particle has a magnitude of 36
N and is in the negative direction of the axis....

A disk with mass m = 8.5 kg and radius R = 0.35 m begins at rest
and accelerates uniformly for t = 18.9 s, to a final angular speed
of ? = 29 rad/s.
a) What is the angular acceleration of the disk?
b) What is the angular displacement over the 18.9 s?
c) What is the moment of inertia of the disk?
d) What is the change in rotational energy of the disk?
e) What is the tangential...

IN C++ - most of this is done it's just missing the bolded
part...
Write a program that creates a class hierarchy for simple
geometry.
Start with a Point class to hold x and y values of a point.
Overload the << operator to print point values, and the + and
– operators to add and subtract point coordinates (Hint: keep x and
y separate in the calculation).
Create a pure abstract base class Shape, which will form the
basis...

pendulum of mass m= 0.8 kg and length l=1 m is hanging
from the ceiling. The massless string of the pendulum is attached
at point P. The bob of the pendulum is a uniform shell (very thin
hollow sphere) of radius r=0.4 m, and the length l of the pendulum
is measured from the center of the bob. A spring with spring
constant k= 7 N/m is attached to the bob (center). The spring is
relaxed when the bob is...

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