ENGR 243 - Practice Final Exam - 2021 Fall PDF

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Dynamics practice final, including 6 problems. Answers are included in the document....

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ENGR 243 - Practice Final Exam: Attempt review

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Question 1 Not answered Marked out of 4.00

Please input numerical values only. Do not include any units in your answer The cable system illustrated in the figure is used to control the vertical ascend and/or descend of block A. For the working cable system, assume that the pulleys are smooth and their masses are negligible. Given that: 1) The supplied force F is 270 N. 2) The mass of block A is 110 kg. Determine: (a) The tension in cable 1, in N. (1 mark) 

(b) The tension in cable 2, in N. (1 mark) 

Knowing that block A moves with a constant acceleration. Determine: (c) the velocity of block A when it moved up 3 m, starting from rest, in m/s. (3 significant figures) (2 marks) 

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Question 2 Not answered Marked out of 5.00

Please enter numerical values only. Do not include any units in your answers With reference to the illustrated figure, the tennis ball is served horizontally at location A and strikes the smooth ground at B Given that: 1) The vertical distance above the ground, Y = 7 ft 2) The horizontal distance on the ground, X = 22 ft 3) The direction of velocity VA is parallel to the ground. Determine: (a) the time when the tennis ball strikes the ground, in seconds. (1 mark) 

(b) the horizontal component of the velocity V1x ,in ft/s. (1 mark) 

(c) the vertical component of the velocity V 1y ,in ft/s. (1 mark) 

REGARDLESS the values calculated in parts (b) and (c): ASSUME that V1x = 29 ft/s, V1y = -23 ft/s and e = 0.8 Use the assumption given right above to calculate parts (d) and (e): (d) the horizontal component of the velocity V 2x ,in ft/s. (1 mark) 

(e) the vertical component of the velocity V2y ,in ft/s. (1 mark) 

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Question 3 Not answered Marked out of 6.00

Please input numerical values only. Do not include any units in your answer The shown car has a center of mass at G and is a rear wheel drive. If the rear “driving” wheels are always slipping, whereas the front wheels are free to rotate. Given that: 1) The car mass is 3 Mg. 2) The coefficient of kinetic friction between the wheels and the road is µk = 0.35. 3) The horizontal distance, X = 1.25 m. 4) The horizontal distance, Y = 0.75 m. 5) The vertical distance,

Z = 0.3 m.

Hints: 1) Neglect the mass of the wheels. 2) Neglect friction at point A. Determine: (a) The normal reaction at B, in N. (2 marks) 

(b)

The acceleration of the car, in m/s 2. (2 marks) 

(c)

The normal reaction at A, in N. (2 marks) 

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Question 4 Not answered Marked out of 4.00

Please input numercial values only. Do not include any units in your answer The collar C moves vertically downwards with a velocity (Vc) and acceleration (a c) as shown in the illustrated figure. Given that at the instant shown: 1) The horizontal distance, X = 0.2 m 2) The vertical distance, Y = 0.2 m 3) The collar C speed is, 4 m/s 4) The collar C acceleration magnitude is, 5 m/s2 . Calculate: (a) The angular velocity of link CB, ω CB, in rad/s, (1 mark) 

(b) The angular velocity of link AB, ω AB, in rad/s, (1 mark) 

REGARDLESS the values calculated in parts (a) and (b): ASSUME that ωCB = ω AB = 19 rad/s Use the assumption given right above to calculate parts (c) and (d): (c) the angular acceleration of link CB, α CB, in rad/s 2, (1 Mark) 

(d) the angular acceleration of link AB, α AB, in rad/s2, (1 mark) 

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Question 5 Not answered Marked out of 6.00

Please input numerical values only. Do not include any units in your answer With reference to the above shown figure, ball 1, is released from rest at location A and strikes ball 2 at location B. Given that: 1) Each of the two balls weigh 1 lb, 2) The coefficient of restitution is, e = 0.65, and 3) The curvature radius, r = 8 ft Determine: (a) the velocity of ball A, just before the collision with ball B, in ft/s. (3 significant Figures) (2 Marks) 

(b) the velocity of ball A, after the collision with ball B, in ft/s. (3 significant Figures) (2 Marks) 

(c) the velocity of ball B, after the collision with ball A, in ft/s. (3 significant Figures) (2 Marks) 

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Question 6 Not answered Marked out of 6.00

The shown rod AB has its motion constrained such that its ends move along the illustrated grooved slots.

Please input numerical values only. Do not include any units in your answer Given that: 1) rod AB is initially at rest when the angle θ = 0°. 2) the slider block at B is acted upon a horizontal force F = 75 N 3) the mas of the rod AB mrod = 15 kg 4) x = 0.9 m Hints: 1) Neglect friction and 2) Neglect the mass of blocks A and B. The shown rod AB has its motion constrained such that its ends move along the illustrated grooved slots.

At the instant θ = 45° , Determine: (a) The work done by the rod, in joules (2 marks) 

(b) The work done by the horizontal force F, in Joules. (2 marks) 

(c) The angular velocity of the rod, in rad/s. (2 marks) 

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