vector expression of acceleration and velocity of rigid body

1. The vector expression of an acceleration can be obtained by:
a. Differentiation position vector once
b. Differentiation velocity vector once
c. Differentiation position vector three times
d. Differentiation velocity vector twice

2. The work of forces acting on a rigid body can be expressed as:
a. the dot product of the force and the velocity vector
b. the cross product of the force and the position vector
c. the dot product of the force and the position vector
d. the cross product of the force and the moment vector

3. For a constant moment, the work done by the moment can be expressed by:
a. the moment times the angular displacement in degrees
b. the moment times the angular displacement in radians
c. the force times the angular displacement in degrees
d. the moment times the velocity

4. The kinetic energy of a rigid body rotating about a noncentroidal axis through O can be expressed as the massmoment of inertia about O times the square of angular velocity.
a. True
b. False

5. When a rigid body rotates about a fixed axis, the velocity vector can be expressed by a cross product of the angular velocity vector and the position vector.
a. True
b. False

Solution Summary

The solution provides detailed explanations to the given multiple choices problems.

** Please see the attachment for the complete problem description **
A rigidbody is spinning with an angular speed of 60pie radians per second (1800 rpm). The axis of rotation lies in the direction of the vector 2i + 2j -k. A small particle on the spinning body with mass of one kilogram passes through the point P with positi

Please answer eight (8) calculus problems. Please show as much works as possible for every problem. The problems are posted in the following website:
http://www.netprofitspro.com/math.html

Given that the accelerationvector is a(t) = (-9cos(-3t)) i + (-9sin(-3t)) j + (-2t) k , the initial velocity is v(0) = i + k , and the initial position vector is r(0) = i+j+k , compute:
A. The velocityvector
B. The position vector

** Please see the attached file for the complete problem description **
Velocityandacceleration: consider a velocityvector given in standard unit vector form in rectangular Cartesian coordinates as ____ (please see the attached file).
a. What is the acceleration at 2 seconds?
b. What is the displacement at 5 seconds?
c.

I need help with a simple experiment.
I'm trying to create an experiment that relates to curvilinear motion. However, I'm unsure how to set up an experiment and show all the calculations. Can someone help me with creating a simple experiment to show what curvilinear motion is and do those calculations I can make up the data

-Compare and Contrast velocity or speed andacceleration.
-Consider the formulas, definitions, and units.
-Explain how Newton's Second Law of Motion APPLIES to a task you perform.
AND
Describe Examples how you move an object or person with constant speed AND also with constant acceleration.

Hi. Here's my problem:
"A tennis ball with a speed of 11.8 m/s is thrown perpendicularly at a wall. After striking the wall, the ball rebounds in the opposite direction with a speed of 8.51 m/s. If the ball is in contact with the wall for 0.00175 s, what is the average acceleration of the ball while it is in contact with the

1. Figure one in the attached diagram indicates the path through space of the water balloon. On the diagram, place arrows indicating the:
(a) velocityvector
(b) the accelerationvector for te balloon.
Label which is which. Do this for the three points indicated on FIGURE 1.
7. The plot (in the figure attached) shows t

I constructed a fairly simple experiment related to curvlinear motion. The experiment involved a small metal ball that rolls off a table and lands on the floor. I used the edge of table as the Y direction.
I timed the trial run from the of the edge of the table and when the ball hits the floor. I know X (total of all time thr