1. A transverse wave on a taut string is given by
y(x, t)=(0. 750 cm)cos[pi{(0.400 rad/cm)x + (250rad/s)t}]
[Note the 휋휋 inside the cosine function!!!]
a) What is the amplitude?
b) What is the period?
c) What is the (linear) frequency?
d) What is the wavelength?
e) What is the speed of propagation?
f) What is the direction of propagation (+x-direction or –x-direction)?
g) If the mass per unit length is 50.0 g/m, what is the tension in the string in newtons?
h) What is the displacement of a point on the rope located at x = 56.4 cm at time t = 0.115 s?

Design an adder circuit using op-amp to satisfy following equation:
Vo = V1 + 3 V2 + 2 V3 + 2V4 + 4V5
The supply voltage of the op-amp is 13V and output saturation voltage is 12 V.
The circuit should always operate in its linear range. What are the minimum-
maximum voltage values of V1, V2, V3, V4 and V5 when only one of them is
connected to the input at a given time (i.e. other input voltages are zero)? What is the
value of maximum voltage Vi if V1 = V2 = V3 = V4 = V5 = Vi ?)

Design and draw a zener voltage regulator to provide 12V output if load resistance
varies between 100 and 200. Assume that the input unregulated dc voltage is
18V and minimum zener operating current is 10 mA. Calculate the wattage of the
Zener diode, value and wattage of RS.

Air at 200kPa, 30°C is contained in a cylinder behind a piston with initial volume of 0.1 m3. The inside pressure balance ambient pressure of 100 kPa plus an external imposed force that proportional to V3, Now heat is transfer to the systēm to final pressure of 225 kPa. Find the work done for this process

9)Draw a hazard free AND‐OR circuit for the K‐MAP below and then draw a hazard free OR‐AND circuit. Remember a SOP equation is created by circling the ones and generates an AND‐OR circuit. A POS equation is created by circling the zeros and generates an OR‐AND circuit. ሺ0,4,5,7,8,9,10,11,12,13,15ሻ݉ ൌ ܨ10)Repeat the previous problem but do not add the group making the AND‐OR circuit hazard free. a.What is the expected output when A=1,B=1,C=0 and D=1? b. What is the expected output when A=1,B=1,C=0 and D=0?c. Assume A=1,B=1 and C=0. Create a timing diagram that shows a glitch (momentary 0) occurring on the output when D changes from 1 to 0. Assume all gates have a 5ns propagation delay.

A short reinforced concrete column of section 200 mm x 220mm is to be reinforced with 4 numbered steel bars and is required to carru an axial load of 850kN. The stress in the concrete must not exceed 7N/mm^2 and the stress must not exceed 150N/mm^2. Determine the diameter required for the bars and the subsequent stresses occurring in the concrete and the steel under the specified load. (Young's moduli of concrete=14kN/mm^2 and Young's moduli of steel=210kN/mm^2. With suitable sketch

A 2 tonnes car is towed by a 2.5 tonnes truck which moves off from rest and reaches a
speed of 2m/s before the tow-rope tightens on the stationary car. The rope then stretches
taking up the strain for 0.15 seconds.Find:
(a) the common speed when the rope ceases to stretch
(b) the average impulsive force in the rope.(Neglect resistance and the effect of the truck’s
propelling force during the stretching period

Design and draw voltage regulator to provide 4 to 10V variable output voltage using IC 7812.

Design an adder circuit using op-amp to satisfy following equation:
-Vo = V1 + 3 V2 + 2 V3 + 2V4 + 4V5
The supply voltage of the op-amp is +/- 13V and output saturation voltage is +/- 12 V.
The circuit should always operate in its linear range. What are the minimum-
maximum voltage values of V1, V2, V3, V4 and V5 when only one of them is
connected to the input at a given time (i.e. other input voltages are zero)? What is the
value of maximum voltage Vi if V1 = V2 = V3 = V4 = V5 = Vi ?)

Design and draw a zener voltage regulator to provide 12V output if load resistance
varies between 100 ohm and 200 ohm. Assume that the input unregulated dc voltage is
18V and minimum zener operating current is 10 mA. Calculate the wattage of the
Zener diode, value and wattage of Rs.