Velocity acquired by block - system released from rest:

Two blocks shown in the figure given below, have masses A = 20N and B = 10N and the coefficient of friction between the block A and the horizontal plane, μ = 0.25. If the system is released from rest, and block B falls through vertical distance of 1m, what is velocity acquired by it? Neglect friction in pulley and extension of string.

Sol: Let T = Tension on both sides of the string.
a = Acceleration of the blocks
μ= 0.25 Consider the motion of block B,

 

Consider motion of block A, T -  μW_A = ma

T - 0.25 X 20 = (20/g)a                                                                                                                               ...(2)

By adding equation (1) and (2)

10 - 5 = (30/g)a

a = 1.63 m/sec²                                                                                                                                    ...(3)

By using the relation, v²  = u² + 2as

v² = 0 + 2X 1.63 X 1

v = 1.81m/sec                                                                  .......ANS

 

Posted Date: 10/20/2012 1:10:46 AM | Location : United States

Ask an Expert

Related Discussions:- Velocity acquired by block - system released from rest, Assignment Help, Ask Question on Velocity acquired by block - system released from rest, Get Answer, Expert's Help, Velocity acquired by block - system released from rest Discussions

Write discussion on Velocity acquired by block - system released from rest
Your posts are moderated

Write your message here..

Related Questions

Determine lifting load of crane, Navy divers are called to rescue a group o... Navy divers are called to rescue a group of office workers trapped in a basement under floodwater in Leeds, UK. The only access to the basement is via a 1.5 x 1.5 m horizontal hatc

Method of resolution to find out the resultant force, Method of resolution ... Method of resolution to find out the resultant force: Some time there is doubt for finding the angle of resultant (θ), the value of the angle θ will be very depending upon the

Construction and working of locomotive boiler, CONSTRUCTIO N and WORKING: ... CONSTRUCTIO N and WORKING: The boiler barrel is cylindrical shell and consists of large number of flue tubes. The barrel comprise of a rectangular fire box at one end and a

Determine the displacement response time, (i) Formulate the equation of mot... (i) Formulate the equation of motion for the system shown in Figure. List TWO (2) assumptions made in this formulation. (ii) Find the response of this system at t = 3s. The syst

Compound BArs, three vertical, parallel straight rods, each 2.6m in length ... three vertical, parallel straight rods, each 2.6m in length have their upper ends firmly secured and their lower supporting a rigid horizontal bar with a weight of 8KN, which cause

Design equipment rooms for plant, Q. Design Equipment Rooms for plant? ... Q. Design Equipment Rooms for plant? Equipment for important safety systems and controls shall be located such that they can remain operational during the defined accidental ev

Explain importance of continuum in thermodynamics, What is the importance o... What is the importance of the concept of continuum in engineering thermodynamics. Sol: Tough the simplification of matter into atoms, electrons, molecules, and so on, is very c

Aeronautical engineering, Aeronautical engineering is a branch of aerospace... Aeronautical engineering is a branch of aerospace engineering, thus some people use the 2 terms interchangeably. It is also sometimes considered that aeronautical engineering cover

Explain the heterogeneous system - thermodynamic, Explain the Heterogeneous... Explain the Heterogeneous System - Thermodynamic Heterogeneous System: A system, which involves two or more phase, is known as heterogeneous system. Such as, Water plus steam,

Legal aspects of entrepreneurship development , Legal Aspect :  Few simple ... Legal Aspect :  Few simple steps to take care of legal aspects of setting up a business are to register your unit with concerned organisation, check out the labour laws that would