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Consider the planar mechanism shown below and then calculate its mobility (M). Note that each time...
4) Determine the mobility of each planar linkage shown below, specify the number of joints and...
4) Determine the mobility of each planar linkage shown below, specify the number of joints and members. 5) Determine the mobility of each of the planar linkages shown below. Specify the number of links and members. 6) Determine the mobility associated with the mechanism below. The round part rolls without slipping on the pieces in contact with it 7) If position information is available for all points in the planar linkage shown below, can all the velocities be determined uniquely...
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...
(a) A sphere and a cylinder are released from the top of an inclined plane and roll without slipping to the bottom. Whi...
(a) A sphere and a cylinder are released from the top of an inclined plane and roll without slipping to the bottom. Which one gets there first? (explain your answer and show calculations) [2 Marks] (b) What does it mean to say that an object is dynamically balanced? How is this different to an object being statically balanced? [1 Mark] (c) Under what conditions can we apply techniques from 2-dimensional (planar) rigid body mechanics to 3-dimensional objects? [1 Mark] (d)...
The planar four-bar mechanism shown below has a driving crank O1A that turns about O1 at...
The planar four-bar mechanism shown below has a driving crank
O1A that turns about O1 at a constant rate of
(theta- dot) θ. = 10 rad/s CCW. The links O1A
and O2B are balanced and have a mass moments of inertia
about their center of mass of Iz = 0.02 kgm2 . The link
ABC has a center of mass located at point G, has a mass of m = 2
kg, and has a mass moment of inertia of...
In the mechanism shown below, link 2 drives the mechanism with a constant angular velocity of...
In the mechanism shown below, link 2 drives the mechanism with
a constant angular velocity of
20 ??? ???. Consider ??? ? 0.04 ?, ???? ? 0.06 ?, ??? ? 0.087
?, ??C ? 0.11 ?, and ?
?? ? 0.05 ?. Determine all the value(s) of ? in the range of
0° ? ? ? 360° for which the ??
absolute velocity of slider ? becomes zero.
Note: Show the graph(s) which you used to determine all the
value(s)...
The mass of the symmetrical wheel shown below is m = 4 kg and its radius...
The mass of the symmetrical wheel shown below is m = 4 kg and its radius of gyration about its center is kg = 0.25 m. The outer radius of the wheel is r2 = 0.4 m. The radius of the inner hub, where a cable is wrapped around it, is rı = 0.2 m. The wheel rolls without slipping. The force P, applied to the cable, is increased slowly according to the linear relation P = at, where P...
Consider the reaction below. Note that the stereochemistry of the product is now shown: 12 points....
Consider the reaction below. Note that the stereochemistry of the product is now shown: 12 points. 5. Br2 CH2Cl2 Br Br a. Draw the most stable chair conformation of the starting material (i.e. the alkene). Use the chair template provided on your answer sheet. You do not need to draw ring hydrogens. (2 points) b. Draw a detailed stepwise mechanism for the reaction. Draw all intermediates and use curved arrows to show 'electron movement'. If multiple stereoisomers of the same...
taner) Consider a cyclist moving alongarstraight line as its velocity - time graph shown below. Velocity/ms...
taner) Consider a cyclist moving alongarstraight line as its velocity - time graph shown below. Velocity/ms 10 aa clecselert Determine (i) (i) (ii) its acceleration at 1 s, 4 s and 6.s, the time when the velocity is zero, the total distance, and total displacement traveled by the object. Question 5: A point charge of -100 nC is surrounded by oil having a permittivity of 20 x 10-12 CN 1m2. How much work would be done on a proton in...
Consider the two-beam system below. The beams are pin jointed at B and simply supported at...
Consider the two-beam system below. The beams are pin jointed at B and simply supported at their other ends at the base of the system). A spring of stiffness, k, connects the two beams to prevent the system collapsing. The unloaded length of the spring is h/2. A load of magnitude Pis applied at point B. } a. Using the method of virtual work, find the value of that keeps the system in equilibrium with the given geometry shown in...
4. Consider the network shown below, and assume that each node initially knows the costs to each of its neighbors. Consider the distance-vector algorithm. 6 2 What are the distances from y to all oth...
4. Consider the network shown below, and assume that each node initially knows the costs to each of its neighbors. Consider the distance-vector algorithm. 6 2 What are the distances from y to all other nodes after y receives one message from each of its direct neighbors (assuming that these messages are the only messages that have been sent and received so far in the entire system)? What are the distances from x to all other nodes after x receives...
4) Determine the mobility of each planar linkage shown below, specify the number of joints and members. 5) Determine the mobility of each of the planar linkages shown below. Specify the number of links and members. 6) Determine the mobility associated with the mechanism below. The round part rolls without slipping on the pieces in contact with it 7) If position information is available for all points in the planar linkage shown below, can all the velocities be determined uniquely...
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...
(a) A sphere and a cylinder are released from the top of an inclined plane and roll without slipping to the bottom. Which one gets there first? (explain your answer and show calculations) [2 Marks] (b) What does it mean to say that an object is dynamically balanced? How is this different to an object being statically balanced? [1 Mark] (c) Under what conditions can we apply techniques from 2-dimensional (planar) rigid body mechanics to 3-dimensional objects? [1 Mark] (d)...
The planar four-bar mechanism shown below has a driving crank
O1A that turns about O1 at a constant rate of
(theta- dot) θ. = 10 rad/s CCW. The links O1A
and O2B are balanced and have a mass moments of inertia
about their center of mass of Iz = 0.02 kgm2 . The link
ABC has a center of mass located at point G, has a mass of m = 2
kg, and has a mass moment of inertia of...
In the mechanism shown below, link 2 drives the mechanism with
a constant angular velocity of
20 ??? ???. Consider ??? ? 0.04 ?, ???? ? 0.06 ?, ??? ? 0.087
?, ??C ? 0.11 ?, and ?
?? ? 0.05 ?. Determine all the value(s) of ? in the range of
0° ? ? ? 360° for which the ??
absolute velocity of slider ? becomes zero.
Note: Show the graph(s) which you used to determine all the
value(s)...
The mass of the symmetrical wheel shown below is m = 4 kg and its radius of gyration about its center is kg = 0.25 m. The outer radius of the wheel is r2 = 0.4 m. The radius of the inner hub, where a cable is wrapped around it, is rı = 0.2 m. The wheel rolls without slipping. The force P, applied to the cable, is increased slowly according to the linear relation P = at, where P...
Consider the reaction below. Note that the stereochemistry of the product is now shown: 12 points. 5. Br2 CH2Cl2 Br Br a. Draw the most stable chair conformation of the starting material (i.e. the alkene). Use the chair template provided on your answer sheet. You do not need to draw ring hydrogens. (2 points) b. Draw a detailed stepwise mechanism for the reaction. Draw all intermediates and use curved arrows to show 'electron movement'. If multiple stereoisomers of the same...
taner) Consider a cyclist moving alongarstraight line as its velocity - time graph shown below. Velocity/ms 10 aa clecselert Determine (i) (i) (ii) its acceleration at 1 s, 4 s and 6.s, the time when the velocity is zero, the total distance, and total displacement traveled by the object. Question 5: A point charge of -100 nC is surrounded by oil having a permittivity of 20 x 10-12 CN 1m2. How much work would be done on a proton in...
Consider the two-beam system below. The beams are pin jointed at B and simply supported at their other ends at the base of the system). A spring of stiffness, k, connects the two beams to prevent the system collapsing. The unloaded length of the spring is h/2. A load of magnitude Pis applied at point B. } a. Using the method of virtual work, find the value of that keeps the system in equilibrium with the given geometry shown in...
4. Consider the network shown below, and assume that each node initially knows the costs to each of its neighbors. Consider the distance-vector algorithm. 6 2 What are the distances from y to all other nodes after y receives one message from each of its direct neighbors (assuming that these messages are the only messages that have been sent and received so far in the entire system)? What are the distances from x to all other nodes after x receives...
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