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

Hydraulic detention time, a.The closest point to discharge treated effluent...

a.The closest point to discharge treated effluent is a lake, but the pipeline is extended so it discharges into the river draining the lake. This allows a conventional secondary tr

Using bode plot calculate phase margin, Using Bode plot calculate (a) Phase...

Using Bode plot calculate (a) Phase margin (b) Gain margin (c) Stability of closed loop system. The open transfer function of the system is

Rubber hoses services tips, Rubber Hoses: Fuel or vacuum hoses should be i...

Rubber Hoses: Fuel or vacuum hoses should be installed so that end is bottomed into its fitting which would ensure adequate area for the hose clip to grip the hose beneath the fla

Closed - open or isolated system, (a) Specify, giving reasons whether the f...

(a) Specify, giving reasons whether the following systems are closed, open or isolated when in operation (i) Kitchen Refrigerator (ii) Ice-cream freezer (iii) Scooter Engi

Cylinder head-basic components of engine , Cylinder Head: It is fitted at...

Cylinder Head: It is fitted at top of the cylinder block. It provides space for the arrangement of spark plug, combustion chamber, camshaft, cam chain, valves and intake and exha

Determine the normal stresses, Determine the normal stresses: A short ...

Determine the normal stresses: A short hollow pier 1.6 m × 1.6 m outsides as well as 1.0 m × 1.0 m intersides supports a vertical load of 2000 kN at a point located on a diago

Rankine Cycle, In a nuclear power plant saturated steam at 30 bar enters a ...

In a nuclear power plant saturated steam at 30 bar enters a h.p. turbine and expands isentrophically to a pressure at which its quality is 0.841. At this pressure the steam is pass

Torsion lenght, Thin wall round tube has diameter of 60mm. The end of it wi...

Thin wall round tube has diameter of 60mm. The end of it will be compressed to square for. How many percents torsion strenght will become lower at the end tube?

Evaluation phase of radial drilling machine, Evaluation Phase of Radial dri...

Evaluation Phase of Radial drilling machine Steps: 1. To judge the ideas generated in the creation phase for ability to meet the required criteria. 2. To refine, develop

Hot working of metals, advantages and disadvantages of hot working of metal...

advantages and disadvantages of hot working of metals

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