HW10 - Ninth Homework Assignment PDF

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Ninth Homework Assignment...

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5/4/2019

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50/50

Points

100

%

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1.

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Award:

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

The homogeneous wire ABCD is bent as shown and is attached to a hinge at C. The length BC indicated by b is 90 mm. Determine the length L for which portion BDC of the wire is horizontal.

The length L for which portion BCD of the wire is horizontal is

133.55

mm.

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Hints

Hint #1

References Worksheet

Problem 05.030 - Application of centroid on a wire

Difficulty: Medium

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The homogeneous wire ABCD is bent as shown and is attached to a hinge at C. The length BC indicated by b is 90 mm. Determine the length L for which portion BDC of the wire is horizontal.

The length L for which portion BCD of the wire is horizontal is

133.5 ± 2% mm.

 Explanation:

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NOTE: This is a multi-part question. A gardener uses a 54-N wheelbarrow to transport a 244-N bag of fertilizer. 

Problem 04.001 - Moments in 2d: Support reaction of a wheelbarrow - DEPENDENT MULTI-PART PROBLEM ASSIGN ALL PARTS

Difficulty: Medium

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What force must she exert on each handle?

The force by her exerted on each handle is

40.65

N ↑

.



Hints Hint #1

References Worksheet

Problem 04.001.b - Moments in 2d: Support reaction of a wheelbarrow

Difficulty: Medium



What force must she exert on each handle?

The force by her exerted on each handle is

40.65 ± 2% N ↑

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.

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 Explanation: The free-body diagram is as follows:

m

N

m

N

N

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NOTE: This is a multi-part question. Consider the following figure, where X= 215 N and Y = 215 N. 

 

Problem 04.028 - Simply supported inverted L-shaped bracket

Difficulty: Medium

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Award:

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Determine the reactions at A and C when α = 0°. The reaction at A =

161.25

N ↑

The reaction at C =

459.24

N⦫

. 20.56

°

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Hints Hint #1 Hint #2

References Worksheet

Problem 04.028.a - Simply supported inverted L-shaped bracket: Flat surface

Difficulty: Medium



Determine the reactions at A and C when α = 0°.

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The reaction at A =

161.3 ± 2%

The reaction at C =

459.2 ± 2% N ⦫

.

N ↑ 20.6 ± 2% °

 Explanation: Free-body diagram:

When α = 0°, ΣMC = 0 : (215 N)(0.2 m) + (215 N)(0.4 m) – A(0.8 m) = 0 A = 161.3 N ΣFx = 0: Cx + 215 N + 215 N = 0 Cx = 430 N ΣFy = 0: Cy + 161.3 N = 0 Cy = 161.3 N

C = 459.2 lb ⦫ 20.6°

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Determine the reactions at A and C when α = 30°. The reaction at A =

261.76

N ⦨

60

°.

The reaction at C =

604.96

N ⦫

22

°.



Hints Hint #1 Hint #2

References Worksheet

Problem 04.028.b - Simply supported inverted L-shaped bracket: Inclined surface

Difficulty: Medium



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The reaction at A =

261.8 ± 2% N ⦨

The reaction at C =

605 ± 2% N ⦫

60 ± 2% °. 22 ± 2% °.

 Explanation: Free-body diagram:

When α = 30°, ΣMC = 0 : (215 N)(0.2 m) + (215 N)(0.4 m) – A cos 30°(0.8 m) + A sin 30°(0.4 m) = 0 A = 261.8 N ⦨ 60° ΣFx = 0: Cx + 215 N + 215 N + A sin 30° = 0 Cx = 560.9 N ΣFy = 0: Cy + A cos 30° = 0 Cy= 226.7 N

C = 605.0 N θ = 22° 

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NOTE: This is a multi-part question. A 63-lb uniform thin panel is placed in a truck with end A resting on a rough horizontal surface and end B supported by a smooth vertical surface. The deceleration of the truck is 15ft/s2. 

Problem 16.001 - DEPENDENT MULTI-PART PROBLEM ASSIGN ALL PARTS

Difficulty: Medium

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5.

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Award:

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

Determine the reactions at ends A and B. (You must provide an answer before moving on to the next part.) The reaction at A is The reaction at B is

63.1 32.86

lb at an angle of lb ←.

86.81

°.

 References Worksheet

Problem 16.001.b - Reaction forces on panel

Difficulty: Medium



Determine the reactions at ends A and B. (You must provide an answer before moving on to the next part.) The reaction at A is The reaction at B is

63.1 ± 2% lb at an angle of 32.9 ± 2% lb ←.

86.8 ± 2% °.

 Explanation:

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a = 15 ft/s2← 63 lb Free Body Diagram:

and NB = 32.9 lb ← 

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6.

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

Award:

Determine the minimum required coefficient of static friction at end A. μ=

.056

 References Worksheet

Problem 16.001.c - Minimum friction coefficient

Difficulty: Medium



Determine the minimum required coefficient of static friction at end A. μ=

0.0558 ± 2%

 Explanation:



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NOTE: This is a multi-part question. A 20-kg cabinet is mounted on casters that allow it to move freely (μ = 0) on the floor. 

Problem 16.009 - DEPENDENT MULTI-PART PROBLEM ASSIGN ALL PARTS

Difficulty: Medium

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7.

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If a 180-N force is applied as shown, determine the acceleration of the cabinet. (You must provide an answer before moving on to the next part.)

The acceleration of the cabinet is

9

m/s2 →.

 References Worksheet

Problem 16.009.a Acceleration of cabinet mounted on casters

Difficulty: Medium



If a 180-N force is applied as shown, determine the acceleration of the cabinet. (You must provide an answer before moving on to the next part.)

The acceleration of the cabinet is

9 ± 2% m/s2 →.

 Explanation:

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8.

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Award:

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If a 180-N force is applied as shown, determine the range of values of h for which the cabinet will not tip.

Range of values of h:

.573

m≤h≤

1.227

m

 References Worksheet

Problem 16.009.b - Height of cabinet for which it will not tip

Difficulty: Medium



If a 180-N force is applied as shown, determine the range of values of h for which the cabinet will not tip.

Range of values of h:

0.573 ± 2% m ≤ h ≤

1.227 ± 2% m

 Explanation:

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