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PHXI05:LAWS OF MOTION

363273 The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle $θ$ should be
supporting img

1

0^{\circ}

2

30^{\circ}

3

45^{\circ}

4

60^{\circ}

Explanation:

Let $T$ be the tension in the string. From the figure for the equilibrium of the system
$2 T \cos θ = \sqrt{2} m g \Rightarrow \cos θ = \frac{1}{\sqrt{2}} \Rightarrow θ = 45^{\circ}$
supporting img

PHXI05:LAWS OF MOTION

363274 Three concurrent co-planar forces 1 $N$ , 2 $N$ and 3 $N$ acting along different directions on a body

1 Can keep the body in equilibrium If 2

N

and 3

N

act at right angle

2 Can keep the body in equilibrium if

1 N

and 3

N

act at right angle

3 Can keep the body in equilibrium if

1 N

and 3

N

act at an acute angle

4 None of these

Explanation:

If $1 N$ and $2 N$ act in the same direction and $3 N$ acts in opposite direction, then equilibrium is possible. So correct option is (4).

PHXI05:LAWS OF MOTION

363275 An object is resting at the bottom of two strings which are inclined at an angle of $120^{\circ}$ with each other. Each string can with stand a tension of 20 $N$ . The maximum weight of the object that can be sustained without breaking the strings is

1

10 N

2

20 N

3

20 \sqrt{2} N

4

40 N

Explanation:

$2 T \cos 60^{\circ} = W$
supporting img
$\Rightarrow W = T$
$\Rightarrow W_{max} = T_{max} = 20 N$

PHXI05:LAWS OF MOTION

363276 As shown in the figure, two equal masses each of 2 $k g$ are suspended from a spring balance. The reading of the spring balance will be
supporting img

1

z e r o

2

2 k g

3

4 k g

4

Between z e r o a n d 2 k g

Explanation:

In this case, one 2 $k g$ $w t$ on the left will act as the support for the spring balance. Hence its reading will be 2 $k g$ .

PHXI05:LAWS OF MOTION

363273 The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle $θ$ should be
supporting img

1

0^{\circ}

2

30^{\circ}

3

45^{\circ}

4

60^{\circ}

Explanation:

Let $T$ be the tension in the string. From the figure for the equilibrium of the system
$2 T \cos θ = \sqrt{2} m g \Rightarrow \cos θ = \frac{1}{\sqrt{2}} \Rightarrow θ = 45^{\circ}$
supporting img

PHXI05:LAWS OF MOTION

363274 Three concurrent co-planar forces 1 $N$ , 2 $N$ and 3 $N$ acting along different directions on a body

1 Can keep the body in equilibrium If 2

N

and 3

N

act at right angle

2 Can keep the body in equilibrium if

1 N

and 3

N

act at right angle

3 Can keep the body in equilibrium if

1 N

and 3

N

act at an acute angle

4 None of these

Explanation:

If $1 N$ and $2 N$ act in the same direction and $3 N$ acts in opposite direction, then equilibrium is possible. So correct option is (4).

PHXI05:LAWS OF MOTION

363275 An object is resting at the bottom of two strings which are inclined at an angle of $120^{\circ}$ with each other. Each string can with stand a tension of 20 $N$ . The maximum weight of the object that can be sustained without breaking the strings is

1

10 N

2

20 N

3

20 \sqrt{2} N

4

40 N

Explanation:

$2 T \cos 60^{\circ} = W$
supporting img
$\Rightarrow W = T$
$\Rightarrow W_{max} = T_{max} = 20 N$

PHXI05:LAWS OF MOTION

363276 As shown in the figure, two equal masses each of 2 $k g$ are suspended from a spring balance. The reading of the spring balance will be
supporting img

1

z e r o

2

2 k g

3

4 k g

4

Between z e r o a n d 2 k g

Explanation:

In this case, one 2 $k g$ $w t$ on the left will act as the support for the spring balance. Hence its reading will be 2 $k g$ .

PHXI05:LAWS OF MOTION

363273 The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle $θ$ should be
supporting img

1

0^{\circ}

2

30^{\circ}

3

45^{\circ}

4

60^{\circ}

Explanation:

Let $T$ be the tension in the string. From the figure for the equilibrium of the system
$2 T \cos θ = \sqrt{2} m g \Rightarrow \cos θ = \frac{1}{\sqrt{2}} \Rightarrow θ = 45^{\circ}$
supporting img

PHXI05:LAWS OF MOTION

363274 Three concurrent co-planar forces 1 $N$ , 2 $N$ and 3 $N$ acting along different directions on a body

1 Can keep the body in equilibrium If 2

N

and 3

N

act at right angle

2 Can keep the body in equilibrium if

1 N

and 3

N

act at right angle

3 Can keep the body in equilibrium if

1 N

and 3

N

act at an acute angle

4 None of these

Explanation:

If $1 N$ and $2 N$ act in the same direction and $3 N$ acts in opposite direction, then equilibrium is possible. So correct option is (4).

PHXI05:LAWS OF MOTION

363275 An object is resting at the bottom of two strings which are inclined at an angle of $120^{\circ}$ with each other. Each string can with stand a tension of 20 $N$ . The maximum weight of the object that can be sustained without breaking the strings is

1

10 N

2

20 N

3

20 \sqrt{2} N

4

40 N

Explanation:

$2 T \cos 60^{\circ} = W$
supporting img
$\Rightarrow W = T$
$\Rightarrow W_{max} = T_{max} = 20 N$

PHXI05:LAWS OF MOTION

363276 As shown in the figure, two equal masses each of 2 $k g$ are suspended from a spring balance. The reading of the spring balance will be
supporting img

1

z e r o

2

2 k g

3

4 k g

4

Between z e r o a n d 2 k g

Explanation:

In this case, one 2 $k g$ $w t$ on the left will act as the support for the spring balance. Hence its reading will be 2 $k g$ .

PHXI05:LAWS OF MOTION

363273 The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle $θ$ should be
supporting img

1

0^{\circ}

2

30^{\circ}

3

45^{\circ}

4

60^{\circ}

Explanation:

Let $T$ be the tension in the string. From the figure for the equilibrium of the system
$2 T \cos θ = \sqrt{2} m g \Rightarrow \cos θ = \frac{1}{\sqrt{2}} \Rightarrow θ = 45^{\circ}$
supporting img

PHXI05:LAWS OF MOTION

363274 Three concurrent co-planar forces 1 $N$ , 2 $N$ and 3 $N$ acting along different directions on a body

1 Can keep the body in equilibrium If 2

N

and 3

N

act at right angle

2 Can keep the body in equilibrium if

1 N

and 3

N

act at right angle

3 Can keep the body in equilibrium if

1 N

and 3

N

act at an acute angle

4 None of these

Explanation:

If $1 N$ and $2 N$ act in the same direction and $3 N$ acts in opposite direction, then equilibrium is possible. So correct option is (4).

PHXI05:LAWS OF MOTION

363275 An object is resting at the bottom of two strings which are inclined at an angle of $120^{\circ}$ with each other. Each string can with stand a tension of 20 $N$ . The maximum weight of the object that can be sustained without breaking the strings is

1

10 N

2

20 N

3

20 \sqrt{2} N

4

40 N

Explanation:

$2 T \cos 60^{\circ} = W$
supporting img
$\Rightarrow W = T$
$\Rightarrow W_{max} = T_{max} = 20 N$

PHXI05:LAWS OF MOTION

363276 As shown in the figure, two equal masses each of 2 $k g$ are suspended from a spring balance. The reading of the spring balance will be
supporting img

1

z e r o

2

2 k g

3

4 k g

4

Between z e r o a n d 2 k g

Explanation:

In this case, one 2 $k g$ $w t$ on the left will act as the support for the spring balance. Hence its reading will be 2 $k g$ .

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