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
Q. Define spot welding electrodes • To conduct the welding current to the work pieces. • To transmit to the work pieces in the weld area the amount of force needed to pro

(a) Illustrate the concept of absolute thermodynamic temperature scale on the basis of second law. (b) In a Steady flow apparatus , 13.5 KJ of work is done by each kg of fluid.

You are required, as part of a small team, to design a remote controlled buggy that can be made to move forwards, backwards and from side to side. The basic buggy and motors are pr

what is Next Generation Manufacturing Strategy?

Explain the importance of Hydraulic paver machine In the center of the augers is a gear box. Kick back paddles are used to "tuck" mix under the gear box. If the paddles were n

A 4 cylinder petrol engine operates on the 4-stroke cycle. The bore of each cylinder is 70mm and stroke 100mm. The clearance volume per cylinder is 60cm3. At a speed of 4000rpm, th

Scalar and Vector quantities: A quantity is a scalar if it is completely defined by its magnitude alone. For example: Length, area, and time. While quantity is said to be vect

You are tasked with the analysis and design of the gravity and wind framing system for a 6-story office building. A part plan of the building is attached.  The plan dimensions o

Constructive Solid-Geometry Methods (CSG) Constructive models represent a solid as a combination of primitive solids. This modeling technique combine the volumes occupied by ov

where expendable pattern is used?