
A single force and coplanar couple together acting on a rigid body are equivalent to
A. A couple
B. A single force equal to the given force and in any direction
C. A single force and parallel to given force
D. None of these
Answer
473.1k+ views
Hint: A system of coplanar forces acting on a body can be reduced to either a single force or a single couple. Any force is equivalent to an equal and parallel force acting at an arbitrary point together with a couple. Moment of this couple is equal to the moment of the given force at that point. We can resolve a single force and coplanar couple as a parallel force at some distance.
Complete answer:
By the definition of the couple we know, two equal and unlike parallel forces with different lines of actions are said to form a couple. Force applied to a key of a lock either to lock it or unlock it is an example of a couple.
A single force and a coplanar couple together acting on a rigid body are equivalent to a single force and also parallel to the given force.
So, the correct answer is option C i.e. a single force and parallel to given force.
So, the correct answer is “Option C”.
Note:
A single force and a coplanar couple together acting on a rigid body cannot produce the state of equilibrium. To produce a state of equilibrium, another couple of equal magnitude and opposite direction in the same plane or in the parallel plane has to exist. Moment of a couple about any point in a plane is constant, both in direction and magnitude. Couple produces a pure rotational motion in the body.
Complete answer:
By the definition of the couple we know, two equal and unlike parallel forces with different lines of actions are said to form a couple. Force applied to a key of a lock either to lock it or unlock it is an example of a couple.
A single force and a coplanar couple together acting on a rigid body are equivalent to a single force and also parallel to the given force.
So, the correct answer is option C i.e. a single force and parallel to given force.
So, the correct answer is “Option C”.
Note:
A single force and a coplanar couple together acting on a rigid body cannot produce the state of equilibrium. To produce a state of equilibrium, another couple of equal magnitude and opposite direction in the same plane or in the parallel plane has to exist. Moment of a couple about any point in a plane is constant, both in direction and magnitude. Couple produces a pure rotational motion in the body.
Recently Updated Pages
Master Class 11 Accountancy: Engaging Questions & Answers for Success

Express the following as a fraction and simplify a class 7 maths CBSE

The length and width of a rectangle are in ratio of class 7 maths CBSE

The ratio of the income to the expenditure of a family class 7 maths CBSE

How do you write 025 million in scientific notatio class 7 maths CBSE

How do you convert 295 meters per second to kilometers class 7 maths CBSE

Trending doubts
10 examples of friction in our daily life

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

State and prove Bernoullis theorem class 11 physics CBSE

What organs are located on the left side of your body class 11 biology CBSE

Write down 5 differences between Ntype and Ptype s class 11 physics CBSE
