Find out the motion of the system, Mechanical Engineering

Find out the motion of the system:

Block (A) of mass M A = 40 kg is resting on coarse table having coefficient of friction = 0.1. This is tied up with an inextensible rope (a b c d) passing over the smooth and mass-less pulleys P1 and P2 and end (d) is at the fixed support is illustrated in Figure. Another mass MB  = 10 kg is hanging from pulley P2.Find out the motion of the system.

Solution

Figure illustrated the block A and B as connected in the system. Pulley P2 has rope on its either side or therefore movement of P2 or block B is half the movement of block A.

∴ If V is the velocity of block A, V/2 is the velocity of block B.

Likewise, if a is the acceleration of A, a/2 is the acceleration of B.

∴          For block A, V 2 = 2 a s                    --------- (I)

Weight of B = WB  = 10 × g

Let A′ and B′ be the final positions of block A and B respectively as illustrated in the figure.

1302_Find out the motion of the system.png

Let Datum-level at the lowest level B′ of the block B.

801_Find out the motion of the system1.png

40 g ( H + (s/2) )  + 10 (s/2) × g = 40 g (H + (s/2) + M A (V 2 /2) +   (M B/2) (V /2)2 + F × s

∴ 5 g s = (V 2/2) (40 +( 10/4) )+ 0.1 × 40 g s                  ---------- (II)

From Eq. (I) and (II)

5 g s - 4 g s = (2 a/2) s (42.5)

∴ a = 0.23 m / sec 2 along AA.

Posted Date: 1/29/2013 7:12:22 AM | Location : United States







Related Discussions:- Find out the motion of the system, Assignment Help, Ask Question on Find out the motion of the system, Get Answer, Expert's Help, Find out the motion of the system Discussions

Write discussion on Find out the motion of the system
Your posts are moderated
Related Questions
You wish to boil 1.2 kg of water, which has a specific heat capacity of 4186 J/kg-K. The water is initially at room temperature (293 K). Water boils at 373 K. How much energy must

SHAF T IN PARALLEL: SHAF T IN PARALLEL: The shaft are in parallel when the driving torque is applied at the junction of shafts and resisting torque is at other ends of

Q. Soil conditions for plant layout? Soil conditions affect the foundation requirements, drainage, type of substructure used and may limit the size and shape of the facility. T

What are the conditions where combined footings used? Two conditions in which it is used are as: a. When an exterior column is immediately adjacent to a property or mechanic

Plate shift drum stopper bolt and arm comp Shift drum stopper : Ensure that the plate shift drum bolt is tight and in arm shift drum stopper assembly, check stopper arm bolt for to

Describe vibration and explain different types of vibration. Add following harmonic motions analytically:- X 1 = 4 cos (wt +100) X 2 = 6 sin (wt +600)

A helical compression spring prepared of oil tempered carbon steel, is subjected to a load which goes from 600 N to 1600 N. The spring index is 6 and the design factor of safety is

SIGNIFICANCE OF DEFECTS IN WELDS   In the correct sense of the word, a defect is a rejectable discontinuity or a flaw of rejectable nature. Certain flaws acceptable in one t

which book is prefferable for plant maintenance?