[عالم سامي]

Simple pendulum takes 1 s for half a cycle

?A- what is the length of a simple pendulum

? b-what is the length for which T=3 s
T= 2π √(l/g) 2=2π √(l/9.8) l =4(9.8)/4π2 l =0.99 m

Q-2

a particle oscillates according to the equation Y=5cost where is in centimeter

find the frequency of oscillation and its position at t= 0.13 s
حسب المعادلة العامة Y=y0 cos ( ώ t)
ώ=2π f f=1/(2 π)
Y=5 cos0.13 Y=4.99999 cm
Q -3
compute the volume change of a solid copper cube 40mm on each edge . when subjected to

? a pressure 20X10^6 pa the bulk modulus of copper 125X10^9 pa

Q-4

A 30 g mass vibrates is SHM at the end of a spring .The amplitude of motion is 12 cm and the

period 1.7s . Find

A- the frequency f=1/T f= 0.588 hz

B- the spring constant k=F/x k=(0.03*9.8)/0.12 k= 2.45 N/m

c- the maximum speed of the mass v 2=2mg v =0.77 m/s

d- the speed when the displacement 6 cm v=0.77 m/s
يمكنك بطريقة المعادلة

f- the acceleration when x=6 cm

Q-5

Two parallel and opposite forces , each 4000 N , are applied tangentially , tow the upper and

lower faces of cubical metal bock 25 cm on a side . Find

A - the angle of shear

B - displacement of the upper surface relative to lower surface . share modulus = 80X10^9 pa


Q-6

How high would water rise in the pipes of a building if the water pressure gage shows the pressure at the ground floor 270X10^3 pa
h=P/ρg h= 27.5 m