Compute the velocity of a bar, Mechanical Engineering

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

Posted Date: 1/29/2013 2:06:40 AM | Location : United States







Related Discussions:- Compute the velocity of a bar, Assignment Help, Ask Question on Compute the velocity of a bar, Get Answer, Expert's Help, Compute the velocity of a bar Discussions

Write discussion on Compute the velocity of a bar
Your posts are moderated
Related Questions

What is the diff between system underfoing cycle and system undergoing process

Determine the centroid of the area: Determine the centroid of the area OBDC Solution The trapezium area is divided in two simple areas,  (i)        A 1 = Rectangle

Explain the Feature of screw conveyor Screw conveyor has such feature as simple structure compact transverse dimension convenient maintenance enclosed delivery and small produc


Determine the process of modelling The process of modelling is much easier, if mathematical description of an object, or at least of part of an object may be applied. In the fi

a) What are essential needs of a job evaluation plan. Illustrate the point plan method b) Describe factor comparison method of job evaluation. a) What are basic objectives an


The differential manometer (shown below) is used to measure the pressure difference between two vessels. Derive the equation for the pressure difference (pA - pB) in terms of the l

Standard for External Representation of Product Data (STEP)  The furthest developed standard is by ISO 10303, or STEP, Standard for the Exchange of Product model data. One of t