Physics, 01.03.2021 15:20 natd299736
A particle move in the xy plane so that its position vector r=bcosQi +bsinQj+ ctk, where b, Q and c are constants. show that the partial move with constant speed.​
Answers: 1
. 
:
.
as a column vector to distinguish between the components:
.
and 
are constants. Therefore, 
and 
would also be constants with respect to ![\displaystyle \frac{d}{dt}[b\, \cos(Q)] = 0](/tpl/images/1156/5689/5a47a.png)
and ![\displaystyle \frac{d}{dt}[b\, \sin(Q)] = 0](/tpl/images/1156/5689/544b6.png)
.
:![\begin{aligned}\mathbf{v}(t) &= \frac{\rm d}{{\rm d} t} [\mathbf{r}(t)] \\ &=\frac{\rm d}{{\rm d} t} \left(\begin{bmatrix}b\, \cos(Q) \\ b\, \sin(Q) \\ c\, t\end{bmatrix}\right) \\ &= \begin{bmatrix}\displaystyle \frac{d}{dt}[b\, \cos(Q)] \\[0.5em] \displaystyle \frac{d}{dt}[b\, \sin(Q)]\\[0.5em]\displaystyle \frac{d}{dt}[c \cdot t]\end{bmatrix} = \begin{bmatrix}0 \\ 0 \\ c\end{bmatrix}\end{aligned}](/tpl/images/1156/5689/63f4a.png)
.
(a scalar) of a particle is the magnitude of its velocity :
.
Another question on Physics
Physics, 21.06.2019 18:10
Amass has an acceleration of 10- 2t. what is its velocity and displacement if it started at x- 4m and the initial velocity was 8m/s? at what time does it have 0 velocity? graph all graphs.
Answers: 2
Physics, 22.06.2019 13:10
Which additional product balances the reaction h2so4 + 2naoh → na2so4 + 2h2o 2oh h2o2 h3o
Answers: 1
Physics, 22.06.2019 17:00
Adiver named jacques observes a bubble of air rising from the bottom of a lake (where the absolute pressure is 3.50 atm) to the surface (where the pressure is 1.00 atm). the temperature at the bottom is 4.00 ∘c, and the temperature at the surface is 23.0 ∘c.what is the ratio of the volume of the bubble as it reaches the surface (vs) to its volume at the bottom (vb)? if jaques were to hold his breath the air in his lungs would be kept at a constant temperature. would it be safe for jacques to hold his breath while ascending from the bottom of the lake to the surface?
Answers: 1
Physics, 23.06.2019 02:00
Explain the difference in reactivity of the elements based on their electron configurations.
Answers: 1
You know the right answer?
A particle move in the xy plane so that its position vector r=bcosQi +bsinQj+ ctk, where b, Q and c...
Questions
Mathematics, 16.10.2020 23:01
History, 16.10.2020 23:01
Computers and Technology, 16.10.2020 23:01
English, 16.10.2020 23:01
Mathematics, 16.10.2020 23:01
Chemistry, 16.10.2020 23:01
Social Studies, 16.10.2020 23:01
Mathematics, 16.10.2020 23:01
English, 16.10.2020 23:01
Law, 16.10.2020 23:01
Mathematics, 16.10.2020 23:01
Mathematics, 16.10.2020 23:01
