Compute the velocity of a bar, Mechanical Engineering

Assignment Help:

Compute the velocity of a bar:

A bar AB as shown in Figure slides so that its bottom point A has a velocity of 4 m/sec to the left along the horizontal plane. compute the velocity of B and also the angular velocity ω.

Solution

A bar AB is resting on two surfaces as illustrated in Figure (a). If end A starts moving to the left then B shall start sliding down along the sloping surface as illustrated in Figure (b). To locate instantaneous centres draw perpendiculars to vA at A and to vB at B. These perpendiculars meet at O. Consider Δ AOB.

∠ OAB = 75o , ∠ ABO = 60o

∴ ∠ AOB = 45o

By using sine rule, we can get the length AO and BO.

∴          AB/ sin 45o =   AO /sin 60o =   BO /sin 75o , where AB = 1000 mm

∴ AO = 1.225 m

BO = 1.366 m

Now,   v A  = AO ω

∴ ω = vA / AO = 4/1.225 = 3.265 rad / sec

and

vB  = OB ω = 3.265 × 1.366 = 4.46 m / sec


Related Discussions:- Compute the velocity of a bar

Determine the thermal efficiency of cupola, With the help of neat diagrams ...

With the help of neat diagrams explain various parts of Cupola. Define its operation. How the thermal efficiency of Cupola calculated? What do you mean by Die casting process? G

Determine the heat transfer coefficient, The average heat transfer co effic...

The average heat transfer co efficient for flow of 100 o C air over a flat plate is calculated by observing the temperature time history of a 3mm thick copper slab exposed 100 o

Define sweep pattern, Sweep pattern It is used to sweep the complete ca...

Sweep pattern It is used to sweep the complete casting by means of a plane sweep. These are used for generating large shapes which are axis-symmetrical or prismatic in nature s

Determine initial tension in the belt, A flat belt, 8 mm thick and 100 mm w...

A flat belt, 8 mm thick and 100 mm wide transmits power between two pulleys, running at 1600 m/min. The mass of the belt is 0.9 kg/m length. The angle of lap in the smaller pulle

Compute a creative design solution, It is really significant of using a Gan...

It is really significant of using a Gantt chart in order to respect the deadline of a client. Show the five main areas that must be explored for a good time management. There

Casting, What is the difference between blowholes & porosity in casting ?

What is the difference between blowholes & porosity in casting ?

How is bearing capacity of soil varied, How is bearing capacity of soil var...

How is bearing capacity of soil varied? The bearing capacity of soil varies not only with its strength but also with the magnitude and distribution of the load. When a load Q,

What do you mean by machinibility, (a) What do you mean by machinibility ? ...

(a) What do you mean by machinibility ? Discuss the factors which come into play while evaluating the machinability of any metal. Also describe machinability index. (b) Brass co

Explain the isolated system - thermodynamic, Explain the Isolated System - ...

Explain the Isolated System - Thermodynamic In an Isolated system, neither masses nor energy are permitted to cross the boundary. The system comprises certain mass and energy.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd