Find out the impact-force, Mechanical Engineering

Find out the impact-force:

A mass of 3 kg ball freely falls from a height of 2 metres on an anvil, & rise 0.5 metre after the blow. If the duration of impact is (1/50)th  of a second, find out the impact-force (i.e. Force because of  impact) on the mass. State the total reaction offered by the anvil on the mass.

Solution

H1 = Fall of the ball = 2 m

Suppose vertically upward direction as the direction for all the vectors such as momentum forces etc.

V1  = Initial velocity of ball just before impact on the anvil. (Downward direction implies - ve)

1481_Find out the impact-force.png

H 2  = Rising of the ball after impact = 0.5 m

V2  = Upward velocity (i.e. + ve) after impact

2267_Find out the impact-force1.png

Mass of the ball (m) = 3 kg.

F × dt = Change in momentum  = m (V2  - V1 )

Impact force on the mass = m (V2  - V1 ) /(dt )

= 3 (3 √g ) × 50

= 450   √g  N.

Impact force on the anvil is downward

= - 450 √g Newtons;

where g = 9.8 m / sec2 .

Considering weight of mass W = 3 × 9.8 ≈ (30) N or  (3 g ) N the total upward reaction at Anvil = (450 √g + 30) N.

Posted Date: 1/29/2013 7:01:28 AM | Location : United States







Related Discussions:- Find out the impact-force, Assignment Help, Ask Question on Find out the impact-force, Get Answer, Expert's Help, Find out the impact-force Discussions

Write discussion on Find out the impact-force
Your posts are moderated
Related Questions
Torsion of a Cylinder Let a cylinder of length  l  and radius  R  be clamped at one end and twisted at the other end by applying a torque τ about the axis of the cylinder. Each

Evaluate the maximum bending stresses: A beam of I-section illustrated in Figure is simply supported over a span of 10 m. It carries an uniform load of 4 kN/m over the whole s

How does the maximum the 10'''' flange horizontal offset allowable.

Applications of capp

Calculate the Cycle and Production Rate for Single-Machine Robotic Cell Determine the cycle and production rate for a single-machine robotic cell for an 8-hr shift if the syst


The Winged-Edge Representation Perhaps the oldest data structure for a b-rep is Baumgart's winged-edge data structure. It is quite different from that of a wire-frame model, be

Performance criterion of a steam power plant: Sol. :   The design of power plant can be determined largely by the consideration of capital cost and operating cost; the forme

advantages and disadvantages of hot working

how does shearing failure occurs