Evaluate the motion of system, Mechanical Engineering

Assignment Help:

Evaluate the motion of system:

Q : Block A and B are connected by a rigid horizontally bar planed at each end are placed on the inclined planes as shown in the figure given below. The weight of block B is 300N. Find the limiting values of weight of the block A to just start motion of system.

 

887_Evaluate the motion of system.png

Sol.: Let Wa be weight of block A. Consider free body diagram of B. As shown in the figure. And Assume that AB  be the Axis of reference.

∑V = 0;

Rsin45° - µBRcos45° - 300 = 0

On solving,                                R = 606.09N           ...(i)

∑H = 0;

C - RCos45° - µBRsin45° = 0                        ...(ii)

Putting value of R, we get

C = 557.14N           ...(iii)

Where C is reaction imparted by rod.

Consider free body diagram of block A as shown in the figure

1084_Evaluate the motion of system1.png

Figure

C + µARcos60° - Rcos30° = 0                                                                      ...(iv)

By putting all the values we get

R = 751.85N                                                                                                  ...(v)

∑V = 0;

µ ARsin60° + Rsin60° - W = 0

By solving,

W = 538.7N

 

...(vi)

Thus weight of block

A = 538.7N

.......ANS

 

 


Related Discussions:- Evaluate the motion of system

Approximate the tension, Approximate the tension: A copper tube 38 mm ...

Approximate the tension: A copper tube 38 mm external diameter and 35 mm internal diameter is nearly wound with a steel wire of 0.8 mm diameter. Approximate the tension at whi

Explain the cushion materials which used in moulding sand, Q. Explain the C...

Q. Explain the Cushion Materials which used in moulding sand? These materials when added to the moulding sand burn and from gases when the molten metal is poured into the mould

magnitude of the maximum bending moment , Solve the following three questi...

Solve the following three questions of the beam ABCD. Note that A is a fixed end; B is apin connection; C is a roller support; and D is a free end.    1)  Sketch the quantita

I.c.engine, compression ignition engine fore stork with neat daysgram

compression ignition engine fore stork with neat daysgram

Special tool and cleaning of part general service tips , Special Tool: Use...

Special Tool: Use special tools wherever applicable. Special tools are designed to dismantle or assemble a specific part or assemblies without causing damage to them. Cleaning

Replace the two parallel forces by single force, Replace the two parallel f...

Replace the two parallel forces by single force: Replace the two parallel forces acting on the control lever by a single equivalent force R.   Sol.: Since single equ

Ignition, how does catalytic ignition operate

how does catalytic ignition operate

Capacitor, A parallel plate capacitor is charged to a total charge Q and th...

A parallel plate capacitor is charged to a total charge Q and then the battery is removed. A slab of material with dielectric constant ? is inserted between the plates. (Justify y

Machine elements, instant center of direct contact slider

instant center of direct contact slider

How is aluminium conductor steel reinforced used, ACSR (Aluminium Conductor...

ACSR (Aluminium Conductor Steel Reinforced) are used as  (A)  over head transmission lines.  (B)  super conductors. (C)  fuse  (D)  underground cables.

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