Course Name: Dynamics

Course Number: $12210244$

Number of Questions: $4$

Total Mark: $35$

Student name:

Palestine

Technical

Kadoorie

Date: $0$

Time: $9$:

ID$"$:

Second semester $2022/2023$

Midterm Exam

Q$1)(9$ marks$)$

The particle $P$ moves in the circular path shown. Sketch the acceleration vector a and determine its magnitude a for the following cases: $($a$)$ the speed $v$ is $1\mathrm{.}2\frac{m}{s}$ and is constant, $($b$)$ the speed is $1\mathrm{.}2\frac{m}{s}$ and is increasing at the rate of $2\mathrm{.}4\frac{m}{s}$ each second, and $($c$)$ the speed is $1\mathrm{.}2\frac{m}{s}$ and is decreasing at the rate of $4\mathrm{.}8\frac{m}{s}$ each second. In each case the particle is in the position shown in the fiomer

a$)ab=0$ ans $\frac{v^2}{R}=(1)\frac{V}{R}=a_5\sqrt[\phantom{2}]{a^2+2\mathrm{.}4}a=2\mathrm{.}4m$ b$)$

b$)$

A$)q,2\mathrm{.}4+0$ s

B$)a=9\mathrm{.}6i+1\mathrm{.}25$

c$)a=38\mathrm{.}4+-1\mathrm{.}8$

$$

Q$1)(9$ marks$)$

The particle $P$ moves in the circular path shown. Sketch the acceleration vector a and determine its magnitude a for the following cases: $(a)$ the speed $v$ is $1\mathrm{.}2\frac{m}{s}$ and is constant, $($b$)$ the speed is $1\mathrm{.}2\frac{m}{s}$ and is increasing at the rate of $2\mathrm{.}4\frac{m}{s}$ each second, and $($c$)$ the speed is $1\mathrm{.}2\frac{m}{s}$ and is decreasing at the rate of $4\mathrm{.}8\frac{m}{s}$ each second. In each case the particle is in the position shown in the figure.