In: Math

Find the tangential and normal components of the acceleration vector. ? (?) = ? ? ?̂+ √2 ? ?̂+ ? −??̂

(a) What is the tangential acceleration of a bug on the rim of a
6.0 in. diameter disk if the disk moves from rest to an angular
speed of 79 revolutions per minute in 4.0 s? m/s2 (b) When the disk
is at its final speed, what is the tangential velocity of the bug?
m/s (c) One second after the bug starts from rest, what is its
tangential acceleration? m/s2 What is its centripetal acceleration?
m/s2 What is its total...

A centripetal acceleration can a) Change an object’s direction.
b) Change an object’s speed.
A tangential acceleration can a) Change an object’s direction. b)
Change an object’s speed.
An object moves in a straight line at a constant speed
___________________.
An object moves in a circle at a constant
speed_________________________.
An object moves in a straight line while slowing to a stop
_________________.
The acceleration… a. Points parallel to the velocity, and in the
same direction. b. Points parallel to...

Constant reactions:normal and tangential components; wire voltage. Illustrate with two examples in details.
Support reaction :strain, stress and thread tension. Demonstrate them with two examples

e) Use the law of acceleration and find the value of
the acceleration of the body that falls freely.

A vector has components (4,2). When the vector is multiplied by
the scalar 9, how does its magnitude and direction change?

(1 point) Let F=−3yi+4xjF=−3yi+4xj. Use the tangential vector
form of Green's Theorem to compute the circulation integral
∫CF⋅dr∫CF⋅dr where C is the positively oriented circle
x2+y2=25x2+y2=25.

compute the unit tangent vector T and the principal normal unit
vector N of the space curve R(t)=<2t, t^2, 1/3t^3> at the
point when t=1. Then find its length over the domain [0,2]

Find a unit vector normal to the level curve f(x,y) = -4x^2
-2y^2 + 5x + y at the point (1,-2)

Suppose that a particle has the following acceleration vector
and initial velocity and position vectors.
a(t) = 7 i +
9t k,
v(0) = 4 i
−
j, r(0)
= j + 5 k
(a)
Find the velocity of the particle at time t.
(b)
Find the position of the particle at time
t.

Show the complete solution.
Determine the unit tangent vector (T), the unit normal vector
(N), and the curvature of ?(?) = 2? ? + ?^2 ? – 1/3 ?^3 k at t =
1.

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