Crowdly

The top three springs with stiffness k are connected in parallel to a rigid bar. This bar is then connected to the mass M through three identical springs (each of stiffness 2k) arranged in parallel configuration.

Which of the following correctly represents the

equivalent stiffness, k_e

, of the system?

Assume all springs are linear, massless, and deform only in the vertical direction.

Select the correct answer.

Figure P8. Spring and mass system.

View this question

Consider the spring system shown in Figure P7

A mass

is placed on top of a vertical spring and comes to rest after causing

a vertical deflection

Δx

Δx = 5.2 m

and the spring stiffness is

= 5.9 N/m, which of the following is the

correct value of the mass (M)

Assume the system is in equilibrium and the acceleration due to gravity is

g = 9.8 m/s².

Figure P7. Mass–spring system in static equilibrium

M = 8.64 kg

M = 31.31 kg

M = 6.26 kg

M = 3.13 kg

100%

View this question

Consider the pulley system shown in

Figure P6

The system consists of six pulleys, three fixed pulleys (A, B and C) and three moveable pulleys (D, E and F), and a single mass

(M)

The pulley arrangement is designed to increase the input force (

) in order to lift the mass (M).

The

mechanical advantage (MA)

of the system is defined as the ratio of the output force

(the force acting on the mass) to the input force (the force applied to the cable).

Which of the following correctly represents the

mechanical advantage (MA)

of this system?

Assume the system is in equilibrium, and that the pulleys and cables are massless and frictionless.

Figure P6. Pulley system

View this question

Now consider the cantilever beam shown in Figure P5 with different loading. A force F₃ is applied at point B and acts in the positive y direction. An applied moment M₁ acts at the tip of the beam (point C), acting in direction shown.

If F

3 = 156 N and M1 = 129 Nm, determine the magnitude and sign of the reaction moment (M_A) at the fixed support A. Use the sign convention for forces and moments shown in the figure (i.e. a counter clockwise moment is considered positive).

Select the correct answer (All answers are in N·m)

Figure P5. Cantilever beam with applied moment and force.

View this question

Consider the cantilever beam shown in Figure P4. Two forces are applied on the beam: F₁ acts at point B in the positive y-direction, and F₂ acts at point C in the negative x-direction, as shown.

If F₁ = 1655 N and F₂ = 2148 N, determine the reaction moment (M_A) at the fixed support A. Use the sign convention for forces and moments shown in the figure (i.e. a counter clockwise moment is considered positive).

Select the correct answer (All answers are in N·m)

Figure P4. Cantilever beam with applied forces

View this question

Consider the free-body diagram of the beam shown in Figure P3

The beam is in equilibrium. The support reactions are shown, together with the external force

F_E, applied at the position indicated.

Which of the following correctly represents the moment equilibrium equation about point B?

Use the sign convention for forces and moments shown in the figure.

Figure P3. Beam free-body diagram

$\sum M_B = 0:\; 9\,A_X - 5.5\,F_E = 0$ \sum M_B = 0:\; 9\,A_X - 5.5\,F_E = 0

$\sum M_B = 0:\; 9\,A_X - 3.5\,F_E + B_X = 0$ \sum M_B = 0:\; 9\,A_X - 3.5\,F_E + B_X = 0

$\sum M_B = 0:\; 9\,A_X - 3.5\,F_E = 0$ \sum M_B = 0:\; 9\,A_X - 3.5\,F_E = 0

$\sum M_B = 0:\; 5.5\,A_X - 3.5\,F_E = 0$ \sum M_B = 0:\; 5.5\,A_X - 3.5\,F_E = 0

$\sum M_B = 0:\; -9\,A_X - 3.5\,F_E = 0$ \sum M_B = 0:\; -9\,A_X - 3.5\,F_E = 0

100%

$\sum M_B = 0:\; -9\,A_X - 3.5\,F_E + 9\,B_X = 0$ \sum M_B = 0:\; -9\,A_X - 3.5\,F_E + 9\,B_X = 0

View this question

Consider the rope connection shown in Figure P2
. Two ropes are attached to an eyelet.
Each rope is in tension, with forces
F₁ and F₂ acting along the ropes as shown.

For

θ = 31.1° and α = 19.1°,

select which of the following is the correct

expression for the magnitude of the resultant force

F_R due to F₁ and F₂

Select the correct answer.

Figure P2. Rope connection

$F_R = \sqrt{F_1^2 + F_2^2 + 2F_1F_2\cos(50)}$ F_R = \sqrt{F_1^2 + F_2^2 + 2F_1F_2\cos(50)}

F_R = F_1 + F_2

$F_R = \sqrt{F_1^2 + F_2^2 - 2F_1F_2\cos(130)}$ F_R = \sqrt{F_1^2 + F_2^2 - 2F_1F_2\cos(130)}

$F_R = \sqrt{F_1^2 + F_2^2 + 2F_1F_2\cos(130)}$ F_R = \sqrt{F_1^2 + F_2^2 + 2F_1F_2\cos(130)}

100%

$F_R = \sqrt{F_1^2 + F_2^2}$ F_R = \sqrt{F_1^2 + F_2^2}

View this question

Consider the truss shown in Figure P1
. Using the dimensions provided in the figure,
determine the value of the angle
θ.

Figure P1. Truss

View this question

Which of the following correctly identifies the point of application (distance from A

)

of the equivalent resultant force

F_EQ due to the distributed load acting on the beam shown in Figure P10? Take q = 17 kN/m , L₁ = 2 m , and L₂ = 3 m.

Figure P10. Simply supported beam with distributed load

View this question

Want instant access to all verified answers on learning.monash.edu?

Get Unlimited Answers To Exam Questions - Install Crowdly Extension Now!

Add to Chrome

Telegram Instagram TikTok Question Bank

Crowdly

Course 38579

Consider the rope connection shown in Figure P2. Two ropes are attached to an eyelet. Each rope is in tension, with forces F1 and F2 acting along the ropes as shown.

Consider the truss shown in Figure P1. Using the dimensions provided in the figure, determine the value of the angle θ.

Want instant access to all verified answers on learning.monash.edu?

Consider the rope connection shown in Figure P2
. Two ropes are attached to an eyelet.
Each rope is in tension, with forces
F₁ and F₂ acting along the ropes as shown.

Consider the truss shown in Figure P1
. Using the dimensions provided in the figure,
determine the value of the angle
θ.