Laws of Motion Test

Result

Laws of Motion Test - 1

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Question 1
4 / -1

A body subiected to three concurrent forces is found to be in equilibrium. The resultant of any two force

A
is equal to third force

B
is opposite to third force

C
is collinear with the third force

D
all of these

Solution

For equilibnum under the effect of the three cuncurrent force all the properties mentioned are required.
Question 2
4 / -1

Three concurrent co-planar forces 1 N, 2 N and 3 N acting along different directions on a body

A
can keep the body in equilibrium if 2 N and 3 N act at right angle.

B
can keep the body in equilibrium if 1 N and 2 N act at right angle.

C
cannot keep the body in equilibrium.

D
can keep the body in equilibrium if 1 N and 3 N act at an acute angle.

Solution

If 1 N and 2 N act in same direction and 3 N acts in opposite direction, then equilibrium is possible.
Question 3
4 / -1

There are four forces acting at a point P produced by strings as shown in figure, which is at rest. The forces F₁ and F₂, are

A

B

C

D

Solution

Applying equilibrium conditions, ∑F_x = 0
⇒ F₁ + 1sin45^∘ − 2sin45^∘ = 0
or F₁= 2sin45^∘ − 1sin45^∘
=
and ∑F_y= 0
⇒ 1cos45^∘ + 2cos45^∘− F₂ = 0
F₂=
Question 4
4 / -1

A body of mass 10 kg is acted upon by two perpendicular forces, 6 N and 8 N. The resultant acceleration of the body is

A
1ms^-2 at an angle of tan^-1(3/4) w.r.t. 8 N force.

B
0.2ms^-2 at an angle of tan^-1(3/4) w.r.t. 8 N force.

C
1ms^-2 at an angle of tan^-1(4/3) w.r.t. 8 N force.

D
0.2ms^-2 at an angle of tan^-1(4/3) w.r.t. 8 N force.

Solution

Here, m = 10 kg
The resultant force acting on the body is
F = √(8N)² + (6N)² = 10N
Let the resultant force F makes an angle θ w.r.t. 8N force.
From figure, tanθ = 6N/8N = 3/4
The resultant acceleration of the body is

The resulatnt acceleration is along the direction of the resulatnt force.

Hence, the resultant acceleration of the body is 1 ms⁻² at an angle of tan⁻¹(3/4) w.r.t. 8N force.
Question 5
4 / -1

A body is moving under the action of two forces . Its velocity will become uniform under a third force F₃ given by

A

B

C

D

Solution

For uniform velocity, acceleration is zero. Hence resultant force will be zero
∴ = 0