Equilibrium of Forces

A uniform bar 15 m in length, weighing 500 N is supported at its smooth spots against some smooth vertical walls as shown below. If the tension in the vertical cable is 'T', calculate the reactions at A and B.

• H_A = 500 N; H_B = 111.11 N

• H_A = 88.8 N; H_B = 131.11 N

• H_A = H_B = 500 N

• H_A = H_B = 111.11 N

In case of the free body diagram of a body, the false statement(s) is,

• FBD is useful in analysing the equilibrium of a constrained body.

• FBD is helpful in finding reactions at the supports.

• Only active forces are shown in FBD.

• None of the these.

A rigid prismatic weightless bar AB is supported in a vertical plane by a hinge at the end A and by a horizontal string attached to the Bar at D as shown in fig.

The tension in the string is,

• w tanθ

• 2 w tan

• 4 w tanθ

• None of these

A rigid prismatic weightless bar AB is supported in a vertical plane by a hinge at the end A and by a horizontal string attached to the Bar at D as shown in fig.

The tension in the string is, the inclination of the reaction from horizontal is given by,

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• 
• 
• 

An uniform wheel of 60 cm diameter, weighing 1000 N, rests against a regular obstacle 15 cm height. The least value for θ to overcome the obstacle is,

• 45°

• 90°

• 60°

• 30°

A cylinder of weight 'w' and radius 'r' is to be supported in a horizontal position against a vertical wall by a bar AB of  negligible weight and length 'l' .The bar is hinged to the wall at A and supported at B by a horizontal rope BC. The angle θ af the bar with the vertical, so that the tension in rope is minimum, should be,

• 30°

• 45°

• 90°

• 60°

A cylinder of weight 'w' and radius 'r' is to be supported in a horizontal position against a vertical wall by a bar AB of  negligible weight and length 'l' .The bar is hinged to the wall at A and supported at B by a horizontal rope BC. The angle θ af the bar with the vertical,

• 
• 
• 
• 

An automobile of weight 'w' is shown in figure A pull 'P' is applied as shown. The reaction of front wheel (location A) is,

• 
• 
• 
• 

A man weighing 75 N stands on the middle of a 25 N ladder lying on a smooth flow against a wall. The ladder is prevented from slipping by a spring OD. The tension in the spring will be,

• 40.56

• 56.40

• 4.056

• 405.6

A man weighing 75 N stands on the middle of a 25 N ladder lying on a smooth flow against a wall. The ladder is prevented from slipping by a spring OD. The reactions at A & B in are respectively,

• 120.26 & 35.13 N

• 121.26 & 34.13 N

• 129.26 & 19.13 N

• 110.26 & 40.23 N