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Reptile [31]
2 years ago
10

A box weighing 25 pounds (assumed concentrated at its center of gravity) is being pulled by a horizontal force F equal to 20 pou

nds. What is the moment about point A? Does the box tip over

Engineering
1 answer:
Leokris [45]2 years ago
5 0

Answer:

(a)the moment about point A is zero

(b) the box does not tip

Explanation:

Consider the diagram of forces as shown in the diagram given in the attached document.

Given the pulling force F= 20 lb and the weight W= 25 lb. and given the height and length of the box to be 5ft and 8ft respectively. We take moment about A.

Moment is the product of force and the perpendicular distance from the line of action of a force.

It is clear that F act through the distance 5ft and W acts through 4ft.

Hence total clockwise moment =total anticlockwise moment

20 × 5 = 25 × 4

Or

Sum of all moment is zero

100-100 =0

The moment due to both forces are equal, hence there is equilibrium. Since there is

equilibrium the box does not tip.

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Because the red mustang is at the stop sign first. It’s a 4 way intersection
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2 years ago
Water flows at low speed through a circular tube with inside diameter of 2 in. A smoothly contoured body of 1.5 in. diameter is
Art [367]

Answer:

Pressure = 11.38 psi

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Explanation:

Step by step solution is in the attached document.

5 0
2 years ago
Suppose that a wing component on an aircraft is fabricated from an aluminum alloy that has a plane-strain fracture toughness of
Orlov [11]

Answer: 133.88 MPa approximately 134 MPa

Explanation:

Given

Plane strains fracture toughness, k = 26 MPa

Stress at which fracture occurs, σ = 112 MPa

Maximum internal crack length, l = 8.6 mm = 8.6*10^-3 m

Critical internal crack length, l' = 6 mm = 6*10^-3 m

We know that

σ = K/(Y.√πa), where

112 MPa = 26 MPa / Y.√[3.142 * 8.6*10^-3)/2]

112 MPa = 26 MPa / Y.√(3.142 * 0.043)

112 = 26 / Y.√1.35*10^-2

112 = 26 / Y * 0.116

Y = 26 / 112 * 0.116

Y = 26 / 13

Y = 2

σ = K/(Y.√πa), using l'instead of l and, using Y as 2

σ = 26 / 2 * [√3.142 * (6*10^-3/2)]

σ = 26 / 2 * √(3.142 *3*10^-3)

σ = 26 / 2 * √0.009426

σ = 26 / 2 * 0.0971

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σ = 133.88 MPa

8 0
2 years ago
A power company desires to use groundwater from a hot spring to power a heat engine. If the groundwater is at 95 deg C and the a
prisoha [69]

Answer:

W  = 12.8 KW

Explanation:

given data:

mass flow rate = 0.2 kg/s

Engine recieve heat from ground water at 95 degree ( 368 K)  and reject that heat to atmosphere  at 20 degree (293K)

we know that maximum possible efficiency is given as

\eta = 1- \frac{T_L}{T_H}

\eta = 1 - \frac{ 293}{368}

\eta = 0.2038

rate of heat transfer is given as

Q_H = \dot m C_p \Delta T

Q_H = 0.2 * 4.18 8(95 - 20)

Q_H = 62.7 kW

Maximuim power is given as

W = \eta Q_H

W = 0.2038 * 62.7

W  = 12.8 KW

3 0
2 years ago
The solid rod AB has a diameter dAB 5 60 mm. The pipe CD has an outer diameter of 90 mm and a wall thickness of 6 mm. Knowing th
Aleks04 [339]

Answer:

3180.86 Nm

Explanation:

Moment of inertia for shaft AB, I_{AB}= \frac {\pi d^{4}}{32}=\frac {\pi 0.06^{4}}{32}=1.27235\times 10^{-6} m^{4}

Torque in solid shaft AB will be given by

T_{AB}=\frac {\tau I_{AB}}{r}=\frac {75\times 10^{6} \times 1.27235\times 10^{-6}}{0.03}=3180.862562 Nm\approx 3180.86 Nm

Where \tau is shear stress, I_{AB} is polar moment of inertia for shaft AB, r is the radius of shaft B

The inner diameter of pipe CD can found considering that the thickness of pipe is 0.006 m hence diameter= 0.09-(2*0.006)= 0.078 m

Moment of inertia for shaft CD will be

I_{CD}=\frac {\pi (0.09^{4}-0.078^{4})}{32}=2.8073\times 10^{-6} m^{4}

Torque for shaft CD will be

T_{CD} =\frac {\tau I_{CD}}{r} and here r = 0.045 m

T_{CD}}=\frac {75\times 10^{6} \times 2.8073\times 10^{-6}}{0.045}=4678.837 Nm\approx 4678.84 Nm

The minimum of the two torques is the largest torque that can be applied. Therefore, the torque to apply equals 3180.86 Nm

3 0
2 years ago
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