# 11.1.4. Equilibrium of a Rigid Body under the Effect of Coplanar Forces Meeting at a Point

A body weighing N is suspended at the end of a string that is inclined to the vertical by an angle of . If it is in equilibrium under the effect of a horizontal force , find and .

• AN, N
• BN, N
• CN, N
• DN, N
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A body that weighs gm-wt is attached at the end of a string whose length is cm. The body is in equilibrium under the effect of a horizontal force having a magnitude of gm-wt that keeps the body at a distance of cm away from the vertical surface. Determine and .

• Agm-wt, gm-wt
• Bgm-wt, gm-wt
• Cgm-wt, gm-wt
• Dgm-wt, gm-wt
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A body weighing N is suspended by two strings and where cm and cm. If the strings are perpendicular to each other, find the tension in the two strings and .

• AN, N
• BN, N
• CN, N
• DN, N
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A weight of gm-wt is suspended by two inextensible strings. The first is inclined at an angle of away from the vertical, and the second is at an angle of away from the vertical. If the magnitude of the tension in the first string is gm-wt, find and the magnitude of the tension in the second string.

• A, gm-wt
• B, gm-wt
• C, gm-wt
• D, gm-wt
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A body weighing N is placed on a smooth plane inclined to the horizontal at an angle , where . Given that the body is kept in equilibrium by means of a horizontal force , determine the magnitude of and the reaction of the plane on the body.

• AN, N
• BN, N
• CN, N
• DN, N
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A body having a weight is placed on a smooth plane inclined to the horizontal at an angle of . Given that the body is kept in equilibrium under the action of a force having a magnitude of N, which is acting upwards in the direction of the line of greatest slope, find the magnitude of and the reaction of the plane on the body.

• AN, N
• BN, N
• CN, N
• DN, N
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A body weighing N is suspended by two strings and ; cm and cm. If the strings are perpendicular to each other, find the tension in the two strings.

• AN, N
• BN, N
• CN, N
• DN, N
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In the figure below, a force having a magnitude of N is acting on a particle at making an angle measuring with the horizontal. Two strings are connected to the particle at the point , and their other ends are attached to and , which are on the same horizontal line. If the particle is in equilibrium, find the tension in each string to the nearest two decimal places.

• AN, N
• BN, N
• CN, N
• DN, N
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In the figure below, a horizontal force having a magnitude of N is acting on a particle at that is attached to two strings having their other ends attached to and . If the particle is in equilibrium, and the two strings are lying on the same vertical line of the particle, find the tension in the two strings to the nearest two decimal places.

• AN, N
• BN, N
• CN, N
• DN, N
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A body weighing N is placed on a smooth surface that is inclined at an angle of to the horizontal. Given that the body is supported by a horizontal force , determine and the reaction of the surface.

• AN, N
• BN, N
• CN, N
• DN, N
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A body weighing N is placed on a smooth surface that is inclined at an angle of to the horizontal. Given that the body is supported by a horizontal force , determine and the reaction of the surface.

• AN, N
• BN, N
• CN, N
• DN, N
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A body that weighs kg wt is placed on a smooth plane that's inclined by an angle of to the horizontal. If the body is supported by a force that's inclined by an angle of to the plane, determine the magnitudes of and , where is the reaction of the plane on the body.

• Akg wt, kg wt
• Bkg wt, kg wt
• Ckg wt, kg wt
• Dkg wt, kg wt
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A body having a weight of N is placed on a smooth plane that is inclined to the horizontal at an angle whose cosine is , and it is prevented from sliding by applying a horizontal force to the body. Find the magnitude of the reaction of the plane and the force .

• AN, N
• BN, N
• CN, N
• DN, N
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Provided that the particle is in equilibrium under the effect of the forces shown in the figure, find approximated to the nearest hundredth, if needed.

• AN
• BN
• CN
• DN
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If a particle is in equilibrium under the action of three coplanar forces of magnitudes , N, and N, where the last two forces are perpendicular to each other, determine the value of .

• AN
• BN
• CN
• DN
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A weight of gm-wt is suspended at the end of a string. The other end of the string is attached to the ceiling of a room. The weight is pulled by a horizontal force until the string is inclined at an angle of away from the vertical. In the equilibrium position, find the magnitudes of the horizontal force and the tension in the string .

• Agm-wt, gm-wt
• Bgm-wt, gm-wt
• Cgm-wt, gm-wt
• Dgm-wt, gm-wt
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