Calculate the tension t in the rope, Mechanical Engineering

Calculate the tension T in the rope:

Q: A man raises 10 Kg joist of length 4m by pulling on rope, Find out the tension T in the rope and reaction at point A for the position as shown in the figure given below.                                                            

Sol.: Apply the condition of equilibrium


97_Calculate the tension T in the rope.png

∑H = 0      RAH  - T cos 20º = 0          RAH  = T cos 20º                          ...(i)

∑V = 0      RAV  - 10 - T sin 20º = 0 RAV  = 10 + T sin 20º                 ...(ii)

By taking moment about the point A

T sin 20º × AC + 10 sin 45º × AE   - Tcos20 × BC = 0,

AC = 4 cos 45º = 2.83 m BC = 4 sin45º = 2.83 m AE = 2 cos 45º = 1.41 m

T × 0.34 × 2.83 + 10 × 0.71 × 1.41 - T × 0.94 × 2.83 = 0,

0.9622 T + 10.011 - 2.66 T = 0

T = 5.9 Kg                               .......ANS

By putting value of T in equation (i) and (ii)

RAH = 5.54 Kg                             .......ANS

RAV = 15.89 Kg                          .......ANS

Posted Date: 10/16/2012 8:06:52 AM | Location : United States

Related Discussions:- Calculate the tension t in the rope, Assignment Help, Ask Question on Calculate the tension t in the rope, Get Answer, Expert's Help, Calculate the tension t in the rope Discussions

Write discussion on Calculate the tension t in the rope
Your posts are moderated
Related Questions
Force required to start the roller: A roller shown in the figure given below is of mass 150Kg. What force T is required to start the roller over block A ? Sol.: Let

Equivalen t force System: An equivalent system for the given system of coplanar forces is the combination of force passing through given point and moment about that point. Th

(a) Reduce expression for the net pressure and depth of centre of pressure in case of an inclined plan surface submerged in a fluid. (b) Derive Euler's equation of motion along

GAS METAL ARC WELDING (GMAW) GMAW is abbreviation for Gas shielded Metal Arc Welding. Here fusion is achieved by an electric arc formed between work piece and process is called

The intensity of loading on a simply supported beam of 5m span increases uniformly from 8KN/m at one end to 16KN/m at the other end. Determine the position and magnitude of the max

Define stress: Sol.: When body is acted upon by load or external force, it undergoes deformation (that is, change in shape or dimension) which increases gradually. At the ti

Determine the stresses in the shell: A cylindrical boiler is 2.5 m in diameter and 20 mm in thickness and it carries steam at a pressure of 1.0 N/mm2. Determine the stresses i

A load of 2MN is applied on a short concrete column 500 mm x 500 mm. The column is reinforced with four steel bars of 10 mm diameter, one in each corner. Evaluate the stresses in t

A lifting shackle in a glass-making factory is made from a special high-temperature stainless steel. It is expected that the shackle will experience a tensile load of 5kN and th

(a) A circular cylinder of mass M and radius R connected by a spring of stiffness ‘K'. It is free to roll on horizontal surface without slipping. Calculate the natural frequency.