STATICS - Lecture Notes / Mehmet Zor

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23 Agust 2024

Question 3.1

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The AD wrench in the figure is attached to a bolt that is fully tightened at point A. We think that the hand forces applied from points B and C are not enough to tighten the bolt any further. In this case, calculate the reactions of the wrench at point A.

(Answer: Ax= 5N, Ay =73.98N, MA=32.6Nm)

Figure 3.48

STATICS - Lecture Notes / Mehmet Zor

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23 Agust 2024

A weight of W = 130 N is hung from ring C. This weight is held in equilibrium by the force P and the cables CA and CB in the position shown. Accordingly, calculate the forces on the cables.

3- EQUILIBRIUM

Question 3.2

(Answer: T_CB =65.87N, T_CA = 42.21N )

Figure 3.49

STATICS - Lecture Notes / Mehmet Zor

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23 Agust 2024

Question 3.3

3- EQUILIBRIUM

The vertical 50N force applied to the curved arm BAD in the figure is balanced by the pin connection (pinned support) A and the cable BCD passing through the frictionless pulley C. Accordingly, calculate the force components in joint A and the resulting force in the cable.

Answers:

Figure 3.50

STATICS - Lecture Notes / Mehmet Zor

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23 Agust 2024

The 250 N weight box with center G is supported by a pinned support from B and a wheel that allows movement on the inclined plane from A. Accordingly, find the reaction forces occurring in the A and B joints.

Answer:

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Question 3.4

Figure 3.51

STATICS - Lecture Notes / Mehmet Zor

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23 Agust 2024

3- EQUILIBRIUM

Question 3.5 (*)

Figure 3.52

STATICS - Lecture Notes / Mehmet Zor

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23 Agust 2024

Answers:

Question 3.6*

3- EQUILIBRIUM

Calculate the reaction forces at points A, B and C of the balanced rod, the weight of which is neglected and which is supported and loaded as shown in the figure. (Dimensions are in mm.)

Figure 3.53

STATICS - Lecture Notes / Mehmet Zor

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23 Agust 2024

Question 3.7

In the lifting system shown in the figure, the rope passed through 20 mm diameter pulleys A and B is wrapped around a cylinder D connected to a motor. The 22.5 N load hanging from the other end of the rope is pulled upwards at a constant speed. Neglecting the weight of the rope and all friction,

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a-) Calculate the reactions that occur in the ceiling C where the rod carrying the pulleys is concreted,

b-) Calculate the reactions that occur in the pin at the center of the pulley A.

Answers: a-) C_x = 22.5N, C_y = 22.5N, M_C= 4837.5N, b-)A_x=216.85N, A_y=285N

Figure 3.54

STATICS - Lecture Notes / Mehmet Zor

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23 Agust 2024

The center of gravity of the highway sign weighing 800N is at point G. It has been experimentally determined that the AB rope can withstand a maximum tensile force of 1200N. The other elements in the system are sufficiently durable. The sign is designed to be connected to the joints D and C and the AB rope as shown in the figure. Do you think such a design is correct in terms of strength?

(Answer: This design would not be correct.)

Question 3.8

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Figure 3.55

STATICS - Lecture Notes / Mehmet Zor

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23 Agust 2024

Cylinders A and B, with weights of 300 N and 150 N respectively, are placed in contact with the side walls and each other and are kept in equilibrium by a rope passed through a pulley. Neglecting all friction in the system;

a-) Find the force that occurs in the rope,

b-) Find the force that the cylinders apply to each other.

Question 3.9

Answers: a-) 241.16 N, b-) 235.26 N

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Figure 3.56

STATICS - Lecture Notes / Mehmet Zor

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23 Agust 2024

A cylinder with a mass of 50N and a radius of 12cm is kept in static equilibrium in the position shown by a wall, a DE cable and a rod making an angle of 30° with the vertical as shown in the figure. Accordingly; Calculate the forces in the rope and the connection A. Neglect friction.

Answer: T=17.2N, A =85.45N

Question 3.10 (2012 1st MidTerm Exam):

Figure 3.57

STATICS - Lecture Notes / Mehmet Zor

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23 Agust 2024

Question 3.11 (*) : Two barrels, each weighing 360 N, are loaded onto a wheelbarrow as shown, and the equilibrium is achieved with the vertical force P. The mass centers of the barrels are points G1 and G2. Neglecting the weight of the wheelbarrow and friction;

a-) Calculate the magnitude of the force P.

b-) Find the force that the barrels exert on each other.

c-) Calculate the reaction force from the wheelbarrow to the barrel above.

Answers: a-) P=67.45N, b-) 206.48N, c-) 294.89N

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Figure 3.58