Determine the angular acceleration of the motion, Mechanical Engineering

Determine the angular acceleration of the motion:

A flywheel of mass 15 kg and radius 20 cm is wound by a rope that carries a weight A of mass 5 kg at its free end as illustrated in Figure. Determine the angular acceleration of the motion, supposing gravitational acceleration = 10 m/sec2 for purpose of simplified calculations, and letting the following two cases:

(i) If friction at the bearing of flywheel-shaft is zero.

(ii) If frictional couple developed at the bearing of shaft is 2 N-m.


While block A travels a distance s downward, this has certain linear velocity V and acceleration a. The equivalent angular velocity ω and angular acceleration α of the flywheel of radius (r = 0.2 m) are specified by

V = r ω = 0.2 ω

a = r α = 0.2 α

s = r θ

Here, θ is the angular displacement of the flywheel. Likewise to equation in linear motion given by

                                            V 2 = 2 a s

The equation in angular velocity is

                                           ω2 = 2 α θ

By using principle of conservation of energy letting datum level as A′ which is the final position of A, we have

WA   × s = W V 2  /2g + Im  ω2  /2+ C × θ

 (i)        While frictional couple C = 0;

5 × 10 × (0.2 θ) = 5 (0.2)2/2  ω2 + 15 (0.2)2  /2 × ω2/2  + 0

10 ×θ = ω2 × (0.2) 2 /2[5 + 7.5]

10 ×θ = α θ × (0.2)2 × 12.5

∴ α = 20 rad / sec 2.

 (ii)  50 × 0.2 θ = α θ (0.2)2 × 12.5 + 2 × θ

∴ α = 16 rad / sec2.

Posted Date: 1/29/2013 7:18:27 AM | Location : United States

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

Write discussion on Determine the angular acceleration of the motion
Your posts are moderated
Related Questions
Effect of Individual Alloying Elements: Sulfur Sulfur is not a needed element in steel since in interferes along with hot rolling and forging resulting in hot-shortness

See the Petri net represent in following figures (a) and (b) as represented in the figure for analysis and depiction of qualitative pathological behaviors. Figure: (a): An

A cantilever beam of 4 metre length is loaded with uniformly distributed load of 20 KN/m throughout the whole beam. It is also loaded with 30 KN operating at 3m from the fixed end

Loading Conditions Non-uniformity of loading has to be considered in the choice of foundations particularly in highly compressible soils. It is not uncommon for buildings with

calculate carbide tool and you are required to turn 60mm dia piece of C20

(a) What are the limitations of Reversed Carnot Cycle to be used in practice for refrigeration purposes? Also derive the mathematical expression of COP for reversed carnot cycle.

Define Jigs and Fixtures Jigs: A jig is a device in which a component is held and located for specified operations in such a way that it will guide one or more cutting tool

truss is shown in the following figure. Compute the horizontal deflection of joint D produced by both the load and fabrication error (bar AE is 40mm too long). For all bars, area A

The Nissan leaf has a battery size of 24 kWh and autonomy of 84 miles.