Grade 12th passMechanics

the resultant of two forces one of which is double the other is 260N .if the direction of the larger force is reversed and other remains unaltered, the resultant reduces to 180N.determine the magnitude of forces and angle between the forces

Sirisha Thota

9 Years agoGrade 12th pass

2 Answers

Dhruv Arora

9 Years ago

Let the forces be of magnitude x and 2x. Then,

x²+4x²+4x²cosy=(260)²

and similarly

x²+4x²-4x²cosy=(180)²

Simplifying we get,

10x²=100000 or x=100

and

8x²cosy=35200

or cosy=44/100

so forces are 100N and 200N and at an angle of somewhere round 64 degrees.

vishwanath mathapati

4 Years ago

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the resultant of two forces one of which is double the other is 260N .if the direction of the larger force is reversed and other remains unaltered, the resultant reduces to 180N.determine the magnitude of forces and angle between the forces

Sirisha Thota

2 Answers

Dhruv Arora

vishwanath mathapati

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