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A string whose extreme A is fixed has weights W1 and W2 attached to it at B and C, respectively, and passes around a smooth peg D carrying a weight of 730 N at the free end E. If in a state of equilibrium, BC is horizontal and AB and CD make angles of 135° and 110°, respectively, with BC, the weights W1 and W2 will be ______ and ______, respectively.
- a)353 N; 685.9 N
- b)353 N; 730 N
- c)249.67 N; 353 N
- d)249.67 N; 685.9 N
Correct answer is option 'D'. Can you explain this answer?
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A string whose extreme A is fixed has weights W1 and W2 attached to it...
Lami's theorem:
It states that if three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two forces.
Consider three forces FA, FB, and FC acting on a particle or rigid body making angles α, β, and γ with each other.
Then from Lami's theorem,
Calculation:
Given:
W = 730 N, And the pulley is smooth.
First string ABCD is split into two parts and consider the joints B and C separately.
Let, T1 = Tension in String AB, T2 = Tension in String BC, T3 = Tension in String CD, T4 = Tension in String DE
Since at joint B and C, three forces are acting on both points. But at B all three forces are unknown and at point C only two forces are unknown. So Apply Lami's theorem first at joint C:
∵ Pulley is smooth, T3 = T4 = 730 N
Apply Lami's theorem first at joint C:
⇒ T2 = 249.674 N And W2 = 685.98 N
Now, the value of T2 is known at point B.
Apply Lami's theorem first at joint B:
It states that if three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two forces.
Consider three forces FA, FB, and FC acting on a particle or rigid body making angles α, β, and γ with each other.
Then from Lami's theorem,
Calculation:
Given:
W = 730 N, And the pulley is smooth.
First string ABCD is split into two parts and consider the joints B and C separately.
Let, T1 = Tension in String AB, T2 = Tension in String BC, T3 = Tension in String CD, T4 = Tension in String DE
Since at joint B and C, three forces are acting on both points. But at B all three forces are unknown and at point C only two forces are unknown. So Apply Lami's theorem first at joint C:
∵ Pulley is smooth, T3 = T4 = 730 N
Apply Lami's theorem first at joint C:
⇒ T2 = 249.674 N And W2 = 685.98 N
Now, the value of T2 is known at point B.
Apply Lami's theorem first at joint B:
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A string whose extreme A is fixed has weights W1 and W2 attached to it at B and C, respectively, and passes around a smooth peg D carrying a weight of 730 N at the free end E. If in a state of equilibrium, BC is horizontal and AB and CD make angles of 135° and 110°, respectively, with BC, the weights W1 and W2 will be ______ and ______, respectively.a)353 N; 685.9 Nb)353 N; 730 Nc)249.67 N; 353 Nd)249.67 N; 685.9 NCorrect answer is option 'D'. Can you explain this answer?
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A string whose extreme A is fixed has weights W1 and W2 attached to it at B and C, respectively, and passes around a smooth peg D carrying a weight of 730 N at the free end E. If in a state of equilibrium, BC is horizontal and AB and CD make angles of 135° and 110°, respectively, with BC, the weights W1 and W2 will be ______ and ______, respectively.a)353 N; 685.9 Nb)353 N; 730 Nc)249.67 N; 353 Nd)249.67 N; 685.9 NCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A string whose extreme A is fixed has weights W1 and W2 attached to it at B and C, respectively, and passes around a smooth peg D carrying a weight of 730 N at the free end E. If in a state of equilibrium, BC is horizontal and AB and CD make angles of 135° and 110°, respectively, with BC, the weights W1 and W2 will be ______ and ______, respectively.a)353 N; 685.9 Nb)353 N; 730 Nc)249.67 N; 353 Nd)249.67 N; 685.9 NCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A string whose extreme A is fixed has weights W1 and W2 attached to it at B and C, respectively, and passes around a smooth peg D carrying a weight of 730 N at the free end E. If in a state of equilibrium, BC is horizontal and AB and CD make angles of 135° and 110°, respectively, with BC, the weights W1 and W2 will be ______ and ______, respectively.a)353 N; 685.9 Nb)353 N; 730 Nc)249.67 N; 353 Nd)249.67 N; 685.9 NCorrect answer is option 'D'. Can you explain this answer?.
A string whose extreme A is fixed has weights W1 and W2 attached to it at B and C, respectively, and passes around a smooth peg D carrying a weight of 730 N at the free end E. If in a state of equilibrium, BC is horizontal and AB and CD make angles of 135° and 110°, respectively, with BC, the weights W1 and W2 will be ______ and ______, respectively.a)353 N; 685.9 Nb)353 N; 730 Nc)249.67 N; 353 Nd)249.67 N; 685.9 NCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A string whose extreme A is fixed has weights W1 and W2 attached to it at B and C, respectively, and passes around a smooth peg D carrying a weight of 730 N at the free end E. If in a state of equilibrium, BC is horizontal and AB and CD make angles of 135° and 110°, respectively, with BC, the weights W1 and W2 will be ______ and ______, respectively.a)353 N; 685.9 Nb)353 N; 730 Nc)249.67 N; 353 Nd)249.67 N; 685.9 NCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A string whose extreme A is fixed has weights W1 and W2 attached to it at B and C, respectively, and passes around a smooth peg D carrying a weight of 730 N at the free end E. If in a state of equilibrium, BC is horizontal and AB and CD make angles of 135° and 110°, respectively, with BC, the weights W1 and W2 will be ______ and ______, respectively.a)353 N; 685.9 Nb)353 N; 730 Nc)249.67 N; 353 Nd)249.67 N; 685.9 NCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A string whose extreme A is fixed has weights W1 and W2 attached to it at B and C, respectively, and passes around a smooth peg D carrying a weight of 730 N at the free end E. If in a state of equilibrium, BC is horizontal and AB and CD make angles of 135° and 110°, respectively, with BC, the weights W1 and W2 will be ______ and ______, respectively.a)353 N; 685.9 Nb)353 N; 730 Nc)249.67 N; 353 Nd)249.67 N; 685.9 NCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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ample number of questions to practice A string whose extreme A is fixed has weights W1 and W2 attached to it at B and C, respectively, and passes around a smooth peg D carrying a weight of 730 N at the free end E. If in a state of equilibrium, BC is horizontal and AB and CD make angles of 135° and 110°, respectively, with BC, the weights W1 and W2 will be ______ and ______, respectively.a)353 N; 685.9 Nb)353 N; 730 Nc)249.67 N; 353 Nd)249.67 N; 685.9 NCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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