2. Given two matrices, determine AB and BA. Is AB = BA? 3. The position of a particle is given by = 6. A-134-431,8-13113| where a is a constant. Find the velocity and sketch the trajectory. (Hint: In sketching the motion of a particle, it is usually helpful to look at limiting cases as t 0 and as t - 00.) 4. The position of a particle at any time t is given by x = a, y = bt², where a and b are constants. Find the rectangular and polar components of its velocity and acceleration (a) at any time t, (b) when a = 12 cm, b= 1 cm/s², and when t = 3 s. 7. Floor 5. A particle moves along a space curve C with a vector is given by r(t) = 3 cos cos 2t e, + 3 sin sin 2t e₂ + (8t - 4), a. Find a unit tangent vector T to the curve C. b. Show that v=vT A particle moves at a constant acceleration along the curve x₂ = x/100 from point A to point B. The velocity of the particle at A is 10 m/s, and 10 s later, at point B it is traveling at 50 m/s. Determine the total acceleration of the particle at point B. Show that finite rotation is not a vector quantity.
2. Given two matrices, determine AB and BA. Is AB = BA? 3. The position of a particle is given by = 6. A-134-431,8-13113| where a is a constant. Find the velocity and sketch the trajectory. (Hint: In sketching the motion of a particle, it is usually helpful to look at limiting cases as t 0 and as t - 00.) 4. The position of a particle at any time t is given by x = a, y = bt², where a and b are constants. Find the rectangular and polar components of its velocity and acceleration (a) at any time t, (b) when a = 12 cm, b= 1 cm/s², and when t = 3 s. 7. Floor 5. A particle moves along a space curve C with a vector is given by r(t) = 3 cos cos 2t e, + 3 sin sin 2t e₂ + (8t - 4), a. Find a unit tangent vector T to the curve C. b. Show that v=vT A particle moves at a constant acceleration along the curve x₂ = x/100 from point A to point B. The velocity of the particle at A is 10 m/s, and 10 s later, at point B it is traveling at 50 m/s. Determine the total acceleration of the particle at point B. Show that finite rotation is not a vector quantity.
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Given two matrices,
determine AB and BA.
Is AB = BA?
Floor
KISWAY KYSUNYA
A-134-431,8-13113|
The position of a particle is given by
r =
where a is a constant. Find the velocity and sketch the trajectory. (Hint: In sketching
the motion of a particle, it is usually helpful to look at limiting cases as t 0 and as t
- 00.)
The position of a particle at any time t is given by x = a, y = bt, where a and b are
constants. Find the rectangular and polar components of its velocity and acceleration
(a) at any time t, (b) when a = 12 cm, b = 1 cm/s², and when t = 3 s.
A particle moves along a space curve C with a vector is given by
r(t) = 3 cos cos 2t ê, + 3 sin sin 2t ê, + (8t - 4),
a. Find a unit tangent vector T to the curve C.
b. Show that p = pT
A particle moves at a constant acceleration along the curve x₂ = x₁/100 from point A
to point B. The velocity of the particle at A is 10 m/s, and 10 s later, at point B it is
traveling at 50 m/s. Determine the total acceleration of the particle at point B.
Show that finite rotation is not a vector quantity.
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