You visited us 1 times! Enjoying our articles? Unlock Full Access!

Comparing Vectors

Let two like ...

Question

Let two like parallel forces are acting, at points $A$ and $B$ such that the force at $A$ is double than the force at $B$ . If $C$ is the point of action of the resultant, then $A C / B C$ is

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 / 2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1 / 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 / 4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $1 / 2$
Since, $A C = \frac{(A B) P}{2 P + P}$
$\Rightarrow 3 A C = (A C + B C)$
$\Rightarrow \frac{A C}{B C} = \frac{1}{2}$

Suggest Corrections

Similar questions

Q. Two like parallel forces

20 N

and

30 N

act at the ends

A

and

B

of a rod

1.5 m

long. The resultant of the forces will act at the point:

Q. The vertices of a quadrialteral are

A (1, 2, - 1), B (- 4, 2, - 2), C (4, 1, - 5)

and

D (2, - 1, 3)

. Forces of magnitudes

2 N, 3 N, 2 N

are acting at point

A

along the lines

A B, A C

and

A D

respectively. Their resultant is:

When two equal and opposite forces act at the same point, then resultant forces is double than either of the forces

Q. Two forces of

3 N

and

4 N

are acting at a point such that the angle between them is

60 degrees

. Find the resultant force.

Two forces $F_{1} = 5 N$ and $F_{2} = 8 N$ acting at points A and B on a rod pivoted at a point O, such that OA = $2 m$ and OB = $4 m$ . Calculate the total moment of the two forces about O.

Join BYJU'S Learning Program

Let two like parallel forces are acting, at points A and B such that the force at A is double than the force at B. If C is the point of action of the resultant, then AC/BC is

The correct option is B 1/2Since, AC=(AB)P2P+P⇒3AC=(AC+BC)⇒ACBC=12

Let two like parallel forces are acting, at points $A$ and $B$ such that the force at $A$ is double than the force at $B$ . If $C$ is the point of action of the resultant, then $A C / B C$ is

The correct option is B $1 / 2$
Since, $A C = \frac{(A B) P}{2 P + P}$
$\Rightarrow 3 A C = (A C + B C)$
$\Rightarrow \frac{A C}{B C} = \frac{1}{2}$