Determine the acceleration of the body, Mechanical Engineering

Determine the acceleration of the body:

Two weights P and Q are associated by the arrangement shown in Figure. Neglecting friction and the inertia of the pulleys and cord, determine the acceleration of the weight Q. Suppose P = 20 kg and Q = 15 kg.

Solution

No friction is involved and hence we can assume any direction of motion. Still we can do a little more guess work. Let us suppose block P at rest, then we have 2 T = 20 × 9.81. As P is not moving, Q also shall not move, therefore we get T = 15 × 9.81 which shows that the system will have a motion, i.e. Q shall move down and P shall be moving up. The value of T shall be in between the above two values. Furthermore, it shall be clear that acceleration of P shall be half of acceleration of Q. Considering FBD for the bodies we may write for the equilibrium of Q.

We have

T + 15 a = 15 × 9.81

∴ T = 147.15 - 15 a                           ---------- (1)

Equilibrium equations for P shall give us

2 T = 20 × (a/2 ) + 20 × 9.81

= 10 a + 196.2

∴ T = 5 a + 98.1            ---------- (2)

 Considering the above two equations, we attain

T = 147.15 - 15 a = 5 a + 98.1

∴ 20 a = 49.05

a = 49.05/20  = 2.45 m / sec2

Posted Date: 1/29/2013 2:44:29 AM | Location : United States







Related Discussions:- Determine the acceleration of the body, Assignment Help, Ask Question on Determine the acceleration of the body, Get Answer, Expert's Help, Determine the acceleration of the body Discussions

Write discussion on Determine the acceleration of the body
Your posts are moderated
Related Questions
a) Can you explain Discuss LVDI in detail. b) Derive the expression for calculating strain using wheatstone bridge. c) Distinguish between analog and digital transducers.

compression ignition engine fore stork with neat daysgram

Express the force in vector form: A force of 400 N forms angles of 45 o , 65 o and 120 o , respectively, along with the x, y and z axes. Express the force in vector form.

LASER WELD OVERLAY I CLADDING This process brings the metal surface to a substantially higher temperature than in the heat treating process and results in a thin molten surface

Heat Treatment of Cast Iron: Castings in iron are frequently heat treated for enhancing mechanical properties and microstructure. The treatments known to cast iron are explai

What is a difference between the steady state conditions and the thermal equilibrium state? In steady state condition, temperatures are constant although heat transfer is taking

Magnitude of the load - hollow cast iron cylinder: Q: A hollow cast iron cylinder 4 m long, 300 mm is the outer diameter, and thickness of metal 50 mm is subjected to central

Determine the maximum hoop: A conical water tank of height 2 metres & base radius 500 mm is supported at top and is full of water. The thickness of the wall is refer to 24 mm,

TYPE OF DEFECTS AND THEIR SIGNIFICANCE   Defects in weldments in general can be classified as follows: I. Defects involving inadequate bonding Lack of fusion Incom

Creep: Creep of rails is the forward movement of rails in the direction of dominant traffic over a period of time. Creep is undesirable because it disturbs the gauge of the t