Find out the common velocity, Mechanical Engineering

Find out their common velocity:

An aeroplane weighing 40 kN horizontally moves with a velocity of 20 m/sec (72 kmph, that means 72 km per hour). A helicopter of weight 20 kN is proceeding at 30 m/sec (108 kmph) towards North in the same horizontal plane & collides with aeroplane. If the two masses get entangled after collision, find out their common velocity.

Solution

As momentum is a vector along the direction of the velocity of the mass, while the momenta M1 and M2 of the aeroplane and the helicopter, respectively, are along two different directions of the two masses, vector rules have to be adopted to determine its resultant momentum.

1 =(Momentum of aeroplane before collision in units (kg m/sec) along  589_Find out their common velocity.png)

= (40 × 20 )/ g  × 1000

2  =  (Momentum of helicopter before collision along1828_Find out their common velocity1.pngin (kg m/sec))

= (20 × 30)/ g  × 1000

The combined mass = (60 × 1000)/ g    kg

 

Therefore, if M c is the resultant momentum along direction796_Find out their common velocity2.png at ∠ α with OA then

V¯c is the common velocity along 796_Find out their common velocity2.png

                                                  ∴ M¯ c  = M¯1 + M¯ 2

1000 × (60/g) V¯c = [(40  × 20 )/g +( 20 × 30)/g (OB ↑)]× 1000

This is a vector addition,

714_Find out their common velocity3.png

∴ Vc  = 100 /6= 16.67 m / sec along OR

where,

tan α = AR/ OA  = 600 /800 = 0.75

∴          α = 36o.87

Posted Date: 1/29/2013 6:58:39 AM | Location : United States







Related Discussions:- Find out the common velocity, Assignment Help, Ask Question on Find out the common velocity, Get Answer, Expert's Help, Find out the common velocity Discussions

Write discussion on Find out the common velocity
Your posts are moderated
Related Questions
Explain Gear Milling Milling is a form-cutting process limited to making single gears for prototype or very small batches of gears as it is a very slow and uneconomical method

Assume we want to determine the minimum stopping distance of an automobile traveling at 60 mph. We again assume that the maximum value of µ is unity. Then the maximum deceleration

Why is porter governor more sensitive than Watt Governor even the former has got an additional weight which will require more force to move sleeve than Watt governor?

Heat Treatment of Stainless Steels: Stainless steels, as other steels, react to heat treatments over broad range. They are subjected to one or more of the given heat treatmen

comparing the different coding systems ?

Q. Setting and installations of insulation? The setting and installations of insulation shall be to Specification No. later. The steam drum surfaces shall be insulated with

Q. What is Passive Fire Protection? Passive fire protection is defined as any fire protection system that, by its nature, plays an inactive role in protecting personnel and pro

FIND THE RESULTANT OF THE SYSTEM OF FORCES AND THE POINTS WHERE THEY CUT THE OX AND OY AXIS.

Dynamic Machine Routing  Machine routing identifies the machines that are needed for each of the operation of a given job. Within the JSP or Job Shop Scheduling Problem model,

Q. Analog Control System for steam generator ? The analog (modulating) control of the Steam Generators will be performed using a Process Control System (by Buyer). Detailed fun