Two forces of magnitude 3m and 2m respectively have a resultant R. if the first force is doubled, the magnitude of the resultant is doubled.Find the angle betuween forces?

3N ও 2N মানের দুইটি বলের লদ্ধি R । প্রথম বলের মান দ্বিগুণ করলে লদ্ধির মানও দ্বিগুণ হয়। বলদ্বয়ের মধ্যবর্তী কোণের মান হবে- (The resultant of two forces 3N and 2N is R. If the first force is doubled then the resultant is also doubled. The angle between the forces is-)

A

30°

B

45°

C

65°

D

120°

The magnitude of two forces, which when acting at right angle produce resultant force of $$\sqrt {10} $$ kg and when acting at 60° produce resultant of $$\sqrt {13} $$ kg. These forces are

A

2 and $$\sqrt 6 $$ kg

B

3 and 1 kg

C

$$\sqrt 5\,$$ and $$\sqrt 5 $$ kg

D

2 and 5 kg

The magnitude of two forces, which when acting at right angle produce resultant force of $$\sqrt {10} $$ kg and when acting at 60° produce resultant of $$\sqrt {13} $$ kg. These forces are

A

2 and $$\sqrt 6 $$

B

3 and 1 kg

C

$$\sqrt 5 $$ and $$\sqrt 5 $$

D

2 and 5

If the resultant of two equal forces has the same magnitude as either of the forces, then the angle between the two forces is

A

30°

B

60°

C

90°

D

120°

If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is

A

30°

B

45°

C

60°

D

120°

Parallelogram Law of Forces states, "if two forces acting simultaneously on a particle be represented in magnitude and direction by two adjacent sides of a parallelogram, their resultant may be represented in magnitude and direction by

A

Its longer side

B

Its shorter side

C

The diagonal of the parallelogram which does not pass through the point of intersection of the forces

D

The diagonal of the parallelogram which passes through the point of intersection of the forces

A force vector is along 4i – 4k direction and has a magnitude 100N and another force vector is along 4i +2j -4k and has a magnitude of 120N. What is the resultant of both forces?

A

80i + 40j – 80k N

B

80i – 40j – 80k N

C

151i + 40j – 80k N

D

151i+ 40j – 151k N

Two like parallel forces are acting at a distance of 24 mm apart and their resultant is 20 N. It the line of action of the resultant is 6 mm from any given force, the two forces are

A

15 N and 5 N

B

20 N and 5 N

C

15 N and 15 N

D

None of these

Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is

A

20 kg

B

25 kg

C

30 kg

D

35 kg

The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,

A

P = R

B

Q = R

C

P = Q

D

None of the above is correct

Two forces of magnitude 3m and 2m respectively have a resultant R. if the first force is doubled, the magnitude of the resultant is doubled.Find the angle betuween forces?

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