Explanation Given data: The angle between the horizontal and rope 2 is 50 ° . The angle between the horizontal and rope 3 is 0 ° . The force exerted by rope 2 is 100 N . Formula used: The expression for the force exerted on an object due to gravity is given as, F g = m g Here, F g is the force due to gravity, m is the mass, and g is the acceleration due to gravity. The resolution of force vector along the x -axis is given by, F x = F cos θ Here, θ is the angle between the horizontal and the force vector, F x is the component of force vector along the x -axis, and F is the force vector. The resolution of force vector along the y -axis is given by, F y = F sin θ Here, θ is the angle between the horizontal and the force vector, F y is the component of force vector along the y -axis, and F is the force vector. Explanation: The figure depicting the situation is given as, From the figure, T 2 x = T 3 x Here, T 2 x is the component of tension force in rope 2 along the x -axis and T 3 x is the component of tension force in rope 3 along the x -axis. Also, it is given that θ 3 = 0 ° , so T 3 y = 0 N . Therefore, T 3 = T 3 x . Substitute T 2 x for T 3 x . T 3 = T 2 x …… (1) Write the expression for the x -component of force exerted by rope 2. T 2 x = T 2 cos θ 2 Substitute T 2 cos θ 2 for T 2 x in equation (1). T 3 = T 2 cos θ 2 Substitute 50 ° for θ 2 and 100 N for T 2 . T 3 = ( 100 N ) cos ( 50 ° ) = 64

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Author: ETKINA

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Center of Gravity of a system

The centre of gravity is a property that is based on the geometry of a rigid body or any particle. It is described as an equilibrium point or a hypothetical location where the total weight of the body is concentrated.

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Chapter 8, Problem 10P

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The mass of the object and forces that the other two ropes exert on the knot if rope 2 exerts a 100 N force on the knot, and the ropes make angles of θ2=50° and θ3=0°.

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Chapter 8, Problem 9P

Chapter 8, Problem 11P

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Chapter 8 Solutions

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The mass of the object and forces that the other two ropes exert on the knot if rope 2 exerts a 100 N force on the knot, and the ropes make angles of θ 2 = 50 ° and θ 3 = 0 ° .

Solution Summary: The author calculates the force exerted on an object due to gravity, and the resolution of force vector along the x -axis.

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The mass of the object and forces that the other two ropes exert on the knot if rope 2 exerts a 100 N force on the knot, and the ropes make angles of θ2=50° and θ3=0°.

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Chapter 8 Solutions