How many degrees of freedom does the planar joint shown

Assignment Help Mechanical Engineering

Reference no: EM131044198

Question 1. Select the best answer out of given choices:

1. How many degrees of freedom does the planar Joint shown have?

188_figure 1.jpg

a. 1
C. 3
d. 4

2. A planar mechanism with four links, three pin joints and one sliding Joint is called
a. Grashof
b. Structure
c. Slider-crank.
d. isomer

3. A link that has a pin joint with ground and is able to make a full rotation is called is called
a. Crank
b. Slider
c. Rocker
d. Cam

4. Which is the correct direction of velocity of point A on the rotating link shown?

2137_figure 2.jpg

a.
b.
c.
d.

5. Which is the correct direction of normal acceleration of point A on the rotating link shown?
a.
b.
c.
d.

6. If R is the pitch radius of a gear and z is its number of teeth, then the module of the gear is given by:
a. 2R/z
b. R/2z
c. z/2R
d. 2z/R

7. In the gear train shown, which gear is an idler gear?

300_figure 5.jpg

a. 3
b. 4
c. 5
d. 6

8. A mechanism with four links, three revolute (pin) joints and one prismatic (sliding) joint is called:
a. Grashof mechanism
b. Slider-Crank Mechanism
c. Planer mechanism
d. isomer

9. If we replace a revolute joint by a slider joint in a planar Mechanism, its degree of freedom will _____provided that at least two revolute joints remain in the loop
a. Increase by one
b. Decrease by one
c. Remain the same
d. Increase by two
e.

10. The six bar isomer shown in the figure is a

2161_figure 8.jpg

a. Stephen's six bar isomer
b. Watt's six bar Isomer
c. Gruebler's Six bar Isomer
d. None of the Above

Question 2. A Determine the number of links (L), the number of joints (3) and the degrees of freedom, m, of the 5 cylinder radial engine shown below (left) with its schem (right).

906_figure 9.jpg

Question 3.

Q1 Choose the best answer out of given choices
1. The number of nodes in a ternary link are
a. 5
b. 2
c. 1
d. 3

2. A __ is pivoted to the ground and has oscillatory motion.
a. Rocker
b. Ground
c. Crank
d. Coupler

3. The simplest joint is the combination of two links and has order
a. Zero
b. One
c. Two
d. None of the above

4. The number of inputs that need to be provided in order to create a predictable output is called
a. DOE'
b. Order of the mechanism
c. Both (a) and (b)
d. None of the above

5. Identify the following as a Higher Pair or Lower Pair

300_figure 10.jpg

a. Higher Pair
b. Lower Pair
c. Both (a) and (b)
d. None of the above

6. Any unconnected link in a plane has
a. 0 DOF
b. 2DOF
c. 3 DOF
d. 6 DOF

7. What is the DOF of the following structure?

1288_figure 11.jpg

a. 1
b. 0
c. 2
d. 3

Question 4: In the slider-crank mechanism shown,

710_figure 17.jpg

R₂ = 100 mm, R₃ = 400 mm, θ₂= 45 θ3 = 10.2^o and Vs = 150 mm/s to the right

Find (a) the distance OB, and (b) the angular velocities ω₂ and ω₃.

Question 5: For the offset slider-crank mechanism shown in figure below, link 2 is 20 mm in length, link 3 is 50 mm, angle θ2 is 45o and the offset OA is 10 mm. Find θ2 the angle of link 3 with x axis and slider position OC.

2253_figure 7.jpg

(a) Determine the number of links, the number of joints and the degree of freedom, m of the planar mechanism shown below.

981_figure 6.jpg

(b) A four-bar linkage has the following dimension: Ground= 90mm, Crank = 30 mm, couple = 500mm, follower = 60 mm. Check if this is a Grashof(Class I kinematic Chain) or non- Grashof linkage.

Question 6: Using the given plot of torque T vs crank angle θ of an engine over two revolutions

1083_figure 4.jpg

(a) Calculate the total energy input, U, of the engine over this angle range and then mean torque Tm. (Don't forget to change the angle into radians)

(b) If the mean speed of the engine is 100 rad/s and the coefficient of speed fluctuation is Cs = 0.10, calculate the mass moment of inertia of the flywheel. Also determine the maximum and minimum and maximum speeds.

Question 7:

In the planetary gear train shown, the sun gear 2 has 40 teeth and the internal ring gear 4 has 801 teeth. Gear 2 rotaters counter-clockwise at ω2 = 150 rad/s, while gear 7 is held stationary.

507_figure 3.jpg

a) Calculate the number of teeth of gear 3 = 20
b) Calculate the speed and direction of rotation of the arm.

Question 8: The unbalanced rotating system shown has

1772_figure 12.jpg

m₁ = 10 g, m₂ = 20 g, R₁ = 100 mm, R₂ = 50 mm.

Find two masses, m₃and m₄, that should be placed in planes 3 and 4 respectively, at radius 20 mm each, in order to balance the system.

Question 9: In the double slider mechanism shown.

979_figure 13.jpg

ψ = 20^o and ψ = 30^o and V_s = 20 mm/s to the right

Find (a) the distance OA (b) the angular velocity ω_AB

Question 10: The unbalanced rorating system shon has

m_B = 5 kg at R_B = 75 mm. Θ_B = 90^o and m_C = 2 kg at R_C = 50 mm, Θ_C = 30^o

1773_figure 14.jpg

Radius B is 75 mm

Radius C is 50 mm

Mass of B is 5 kg

Mass of C is 2 kg

Find two masses, m_A and m_D that should be placed in planes A nad D respectively at radius 60 mm each, in order to balance the system.

Question 11: Label the cam-follower given, showing

239_figure 15.jpg

(a) Base circle (b) Prime circle (c) Cam profile, (d) Pitch curve (e) pressure angle, and (f) follower.

Question 12: Find angular velocity ω (cw or ccw?) for bar AB?

1087_figure 15.jpg

1. If the unbalancing masses on a rotating shaft are all in the same plane, this is a called
a. Dynamic unbalance
b. static unbalance
c. Both a and b above
d. None of the above

2. Among the cam-and-follower system shown, which ones have an oscillating follower
a. A and B
b. A and C
c. B and C
d. C and d.

3. Among the cam and follower system shown which one has on offset follower

876_figure 16.jpg

a. A
b. B
c. C
d. D

4. A flywheel is used on a rotating shaft to:
a. Reduce the changes in speed
b. Reduce the changes in torque
c. improve the efficiency

5. in a three force member the forces must all:
a. Be equal in magnitude
b. have the same direction
c. have direction passing through the same , concurrent point
d. none of the above.

Question 13:

The figure shows a plot of torque T vs crank angle Θ of an Engine over two revolution.

1070_figure 18.jpg

a) Calculate the total Energy input, U of the Engine over this angle range (note: change degrees into radians)
b) calculate mean torque T_m
c) The mean speed of the Engine is 100 rad/sec. If wish to have a coefficient of speed C_v= 0.05 what mass moment of inertia is suitable for the wheel?
d) Find the maximum speed and the minimum speed with this flywheel installed.

Question 14:

The unbalanced mass is in the next slide

1661_figure 19.jpg

m₁ = 12 kg m₂ = 3kg and m₃= 10 kg

r₁ = 0.2 m r₂ = 0.3 r₃ = 0.15 m

ω = 750 rpm = 750*2 pi/ 60 = 78.5 rad/sec

Θ₁ = 0, Θ₂ = 135 Θ = 150

a) Find bearing reactions

b) Determine angle and calues of correcting mass mc if r_c = 0.25 m

Question 15: In the compound planetary gear train shown in the figure z₂ = 50 z₃ = 25 z₄ = 45 z₅ = 30 and z_e has 40 teeth. The arm rotaes clockwise w_arm= 50 rms and ω₆ = 20 rpm ccw.

2059_figure 20.jpg

a) find ω₃
b) find ω₂

Can you solve this all questions

link for questions

https://www.dropbox.com/sh/xsofi3efazsr3xr/AAB8kmvEb08a0HVCKZDahJ86a?dl=0

I want Arrangement in microsodt word And in link have two course mecanical vibrations and mecanical of machine and all my book in link you can see my book before solutions.

Reference no: EM131044198

Questions Cloud

How employees preparing to conduct business : How employees preparing to conduct business in the selected host country might overcome cultural shock. How employees preparing to conduct business in the selected host country might prepare for each aspect of the cultural experience

Decisions about packaging and branding : 1. Which of the following components of the marketing mix concerns decisions about packaging and branding? 2. Which of the following concerns how the whole marketing system works?

Estimate the companys cost of equity capital : K-Far stores has launched an expansion program that should result in the saturation of the Bay Area marketing region in California in six years. The company expects to increase its annual dividend per share, most recently $2, in keeping with this gro..

Employee and managerial self-service portal : Companies must be able to be competitive in the global economy in order to survive and thrive. In order to be competitive a company needs to be able to recruit, train, compensate and retain the best and brightest workforce.

How many degrees of freedom does the planar joint shown : How many degrees of freedom does the planar Joint shown have - Determine the number of links, the number of joints and the degree of freedom, m of the planar mechanism shown below.

Write a research paper about how do we learn and hearing : Write a psychology research paper about how do we learn and hearing. The paper at least 2 pages for each one.

What is best estimate of the current stock price : Your company’s last dividend was $1.75. Its dividend growth rate is expected to be constant at 25% for 2 years, after which dividends are expected to grow at a rate of 5% forever. Its required return (RE) is 12%. What is the best estimate of the curr..

What is the cost of direct materials used : What is the cost of direct materials used?

Based on the corporate valuation model : Based on the corporate valuation model, the value of Cascade Printing operations is $1,200 million. The company's balance sheet shows $80 million in accounts receivable, $60 million in inventory, and $200 million in short-term investments that are un..

User Account

All Pages