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Homework 5.1 (Due Tuesday): The figure below shows the spillway gate opening mechanism of a dam....
3. The figure shows a spillway which is essentially a dam that holds back water until it reaches a certain depth, a...
3. The figure shows a spillway which is essentially a dam that holds back water until it reaches a certain depth, at which point the water "spills" over the top. You may assume the pressure is distributed hydrostatically at stations 1 and 2. You may also assume that the width of the spillway is constant everywhere. The density of water is 1000 kg/m2 Control Surface Streamline 5 m 0.7m V/2 (a) Find the velocities, Vi and Va. Note that you...
Question 4 (15 marks) The figure below shows a slider-crank mechanism. Link AB is driven with...
Question 4 (15 marks) The figure below shows a slider-crank mechanism. Link AB is driven with a CONSTANT angular velocity of 4 rad/s. a) Determine the (vector) velocity of point B. b) Determine the angular velocity of link BC and the velocity of the slider at C. c) Determine the (vector) acceleration of point B. d) Determine the (vector) acceleration of the slider at C. 125 mm MAB = 4 rad/s 300 mm 600
Figure 2 below shows a mechanism in which OA QC = 100 mm, AB OB = 300 mm and CD = 250 mm
Figure 2 below shows a mechanism in which OA QC = 100 mm, AB OB = 300 mm and CD = 250 mm. The crank OA rotates at 150 r.p.m in the clockwise direction. 2.1 the velocity of the slider at D 2.2 the least absolute velocity of a point on link AB 2.3 the angular velocities of links AB and QB 2.4 the rubbing velocity at the pin B which is 40 mm in diameter 2.5 the force exerted by the piston if the...
Consider the mechanism shown below; 300 mm AB 3 rad/s 500 m 200 mm 0 At the instant shown, link AB is rotating with a c...
Consider the mechanism shown below; 300 mm AB 3 rad/s 500 m 200 mm 0 At the instant shown, link AB is rotating with a constant angular velocity of 3rad/s (as indicated) On the answer sheet provided, draw the location of the instant centre of rotation of link BC at this moment. [1 Mark] Calculate the velocity and acceleration of point B in i and j components. [2 Marks] Calculate the velocity of point C in terms of T and...
The mechanism shown in the figure below has rigid links pivoted at A, B, C and D. The link BCE is a rigid plate. The d...
The mechanism shown in the figure below has rigid links pivoted at A, B, C and D. The link BCE is a rigid plate. The dimensions of the links are BC = 110 mm BE 70 mm CE 60 mm CD 30 mm AB = 50 mm At the instant when both angles ABC and BCD are 90°, the link AB has a clockwise angular velocity of 40 rad/s. Determine the angular velocity of link BCE A Determine the angular...
The figure below shows a person opening a door against a spring that provides -200 N...
The figure below shows a person opening a door against a spring that provides -200 N m of torque in the clockwise direction. If the distance () between the hinge of the door and the point at which you push on the door with your hand at an angle of 62° (a) is 0.24 m, find the amount of force (F) needed to open the door. hinge 3. spring door
The dimensions of the planar mechanism, shown in Fig. 1 are given in Table 1. Link 1 is rotating ...
The dimensions of the planar mechanism, shown in Fig. 1 are
given in Table 1. Link 1 is rotating at
constant 120 rpm in counterclockwise direction. The external
force of 200N is applied on the slider
at point D against its translational motion. Assume the link
bars of the mechanism are homogeneous
rectangular prisms with the width of 0.01 m and the depth of
0.001 m. The slider has the width of
0.070 m, the height of 0.040 m, and...
The figure to the right shows the shape and dimension of a small dam. Assuming the...
The figure to the right shows the shape and dimension of a small dam. Assuming the water level is at the top of the dam and that the shape of e dam is a semicircle, find the total force on the face of the dam. Use 1000 kg the density of water and 9.8 m/s for the acceloration due to gravity. the battom of the tank. Choose the Find the width function wy) correct answer below. this case, choose an...
Figure 8 (c) Figure 9 illustrates a four-bar linkage mechanism that is used to operate a...
Figure 8 (c) Figure 9 illustrates a four-bar linkage mechanism that is used to operate a washing system on a vegetable harvesting line. The mechanism consists of a crank OA which moves in a limited arc and an L-shaped connecting rod AB which tilts a large bucket of water DB onto the vegetables. The crank rotates with a constant angular velocity wOA = 4x rad/s. For the instant shown with the crank vertical and the angle 8 = 30° determine...
Part B The dimension of the links in a four-bar mechanism shown in Figure 2a below...
Part B The dimension of the links in a four-bar mechanism shown in Figure 2a below are: 02A = 60 mm, AB = 110 mm, 04B = 90 mm, 0204 = 150 mm, AC = 80 mm, and <BAC = 30°. If 02 = 60° and the angular velocity of link 02A = 20 rad/s in clockwise direction. Using vectorial approach, 0,0, Figure 2 3. Determine the velocity of B, VB 4. Determine the velocity of C, Vc Hint: Figure...
3. The figure shows a spillway which is essentially a dam that holds back water until it reaches a certain depth, at which point the water "spills" over the top. You may assume the pressure is distributed hydrostatically at stations 1 and 2. You may also assume that the width of the spillway is constant everywhere. The density of water is 1000 kg/m2 Control Surface Streamline 5 m 0.7m V/2 (a) Find the velocities, Vi and Va. Note that you...
Question 4 (15 marks) The figure below shows a slider-crank mechanism. Link AB is driven with a CONSTANT angular velocity of 4 rad/s. a) Determine the (vector) velocity of point B. b) Determine the angular velocity of link BC and the velocity of the slider at C. c) Determine the (vector) acceleration of point B. d) Determine the (vector) acceleration of the slider at C. 125 mm MAB = 4 rad/s 300 mm 600
Consider the mechanism shown below; 300 mm AB 3 rad/s 500 m 200 mm 0 At the instant shown, link AB is rotating with a constant angular velocity of 3rad/s (as indicated) On the answer sheet provided, draw the location of the instant centre of rotation of link BC at this moment. [1 Mark] Calculate the velocity and acceleration of point B in i and j components. [2 Marks] Calculate the velocity of point C in terms of T and...
The mechanism shown in the figure below has rigid links pivoted at A, B, C and D. The link BCE is a rigid plate. The dimensions of the links are BC = 110 mm BE 70 mm CE 60 mm CD 30 mm AB = 50 mm At the instant when both angles ABC and BCD are 90°, the link AB has a clockwise angular velocity of 40 rad/s. Determine the angular velocity of link BCE A Determine the angular...
The figure below shows a person opening a door against a spring that provides -200 N m of torque in the clockwise direction. If the distance () between the hinge of the door and the point at which you push on the door with your hand at an angle of 62° (a) is 0.24 m, find the amount of force (F) needed to open the door. hinge 3. spring door
The dimensions of the planar mechanism, shown in Fig. 1 are
given in Table 1. Link 1 is rotating at
constant 120 rpm in counterclockwise direction. The external
force of 200N is applied on the slider
at point D against its translational motion. Assume the link
bars of the mechanism are homogeneous
rectangular prisms with the width of 0.01 m and the depth of
0.001 m. The slider has the width of
0.070 m, the height of 0.040 m, and...
The figure to the right shows the shape and dimension of a small dam. Assuming the water level is at the top of the dam and that the shape of e dam is a semicircle, find the total force on the face of the dam. Use 1000 kg the density of water and 9.8 m/s for the acceloration due to gravity. the battom of the tank. Choose the Find the width function wy) correct answer below. this case, choose an...
Figure 8 (c) Figure 9 illustrates a four-bar linkage mechanism that is used to operate a washing system on a vegetable harvesting line. The mechanism consists of a crank OA which moves in a limited arc and an L-shaped connecting rod AB which tilts a large bucket of water DB onto the vegetables. The crank rotates with a constant angular velocity wOA = 4x rad/s. For the instant shown with the crank vertical and the angle 8 = 30° determine...
Part B The dimension of the links in a four-bar mechanism shown in Figure 2a below are: 02A = 60 mm, AB = 110 mm, 04B = 90 mm, 0204 = 150 mm, AC = 80 mm, and <BAC = 30°. If 02 = 60° and the angular velocity of link 02A = 20 rad/s in clockwise direction. Using vectorial approach, 0,0, Figure 2 3. Determine the velocity of B, VB 4. Determine the velocity of C, Vc Hint: Figure...
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