Answer
Verified
384k+ views
Hint: Pulleys are frictionless and massless, so we neglect friction forces and the mass of the pulley. Our first work is to find the direction of tension Keep in mind that tension is in the direction of the rope. After drawing the direction of tension, balance all the forces.
Complete answer:
Given that mass suspended from the third pulley system is $200$ Kg and is in equilibrium by applying force F. Make tension in the direction of rope as shown in the figure below. Now balance all the forces.
Tension along the same pulley will remain the same (constant). So, Tension along pulley A will cancel each other and similarly, Tension along pulley B will cancel each other.
Now, we are balancing the forces for obtaining equilibrium condition—
W is the weight and it is equal to the W =mass $\times $ gravity.
$ W = 200× 9.8 = 1960 N$
$3 T = W
T =\dfrac {W}{3}
So, T =\dfrac {1960}{3} = 653.33 N$
Additional Information: - We assume the string to be ideal so that the force along the whole string is the same. Tension is along the rope and If the string is supposed to be massless and frictionless, then the pulling force at both ends of the string needs to be the same in magnitude
Note:
In this ques mass is given but during balancing the force weight will be taken because units of force and weight are the same. So, we need to get the weight by multiplying gravity with the mass. At equilibrium, an upward force is equal to the downward force to make the body stable.
Complete answer:
Given that mass suspended from the third pulley system is $200$ Kg and is in equilibrium by applying force F. Make tension in the direction of rope as shown in the figure below. Now balance all the forces.
Tension along the same pulley will remain the same (constant). So, Tension along pulley A will cancel each other and similarly, Tension along pulley B will cancel each other.
Now, we are balancing the forces for obtaining equilibrium condition—
W is the weight and it is equal to the W =mass $\times $ gravity.
$ W = 200× 9.8 = 1960 N$
$3 T = W
T =\dfrac {W}{3}
So, T =\dfrac {1960}{3} = 653.33 N$
Additional Information: - We assume the string to be ideal so that the force along the whole string is the same. Tension is along the rope and If the string is supposed to be massless and frictionless, then the pulling force at both ends of the string needs to be the same in magnitude
Note:
In this ques mass is given but during balancing the force weight will be taken because units of force and weight are the same. So, we need to get the weight by multiplying gravity with the mass. At equilibrium, an upward force is equal to the downward force to make the body stable.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
Write a letter to the principal requesting him to grant class 10 english CBSE
What is ionization isomerism Give one example class 12 chemistry CBSE
Why is there a time difference of about 5 hours between class 10 social science CBSE