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Question 2 A 4-link quick return mechanism is shown in the figure. r1=50 cm, r2=25 cm, l=80 cm, and input link, AoC, is rotating with a constant angular velocity of ? = ? = 4 rad/s. a) Perform the kinematic analysis analytically for the generalized coordinate of ?=60°. Find the positions and the velocities of the links 3 and 4. b) Write the scaler loop equations. c) Obtain $\dot{s}$, $\ddot{s}$, $\dot{\theta}$, $\ddot{\theta}$ by performing velocity and acceleration analyzes numerically for the positions calculated in (a). d) Calculate the velocity coefficient and the velocity of the point D.

          Question 2 A 4-link quick return mechanism is shown in the figure.
r1=50 cm, r2=25 cm, l=80 cm, and input link, AoC, is rotating with a
constant angular velocity of ? = ? = 4 rad/s.
a) Perform the kinematic analysis analytically for the generalized
coordinate of ?=60°. Find the positions and the velocities of the
links 3 and 4.
b) Write the scaler loop equations.
c) Obtain $\dot{s}$, $\ddot{s}$, $\dot{\theta}$, $\ddot{\theta}$ by performing velocity and acceleration analyzes
numerically for the positions calculated in (a).
d) Calculate the velocity coefficient and the velocity of the point D.
        
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Question 2 A 4-link quick return mechanism is shown in the figure.
r1=50 cm, r2=25 cm, l=80 cm, and input link, AoC, is rotating with a
constant angular velocity of ? = ? = 4 rad/s.
a) Perform the kinematic analysis analytically for the generalized
coordinate of ?=60°. Find the positions and the velocities of the
links 3 and 4.
b) Write the scaler loop equations.
c) Obtain ṡ, s̈, θ̇, θ̈ by performing velocity and acceleration analyzes
numerically for the positions calculated in (a).
d) Calculate the velocity coefficient and the velocity of the point D.

Added by Christine L.

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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A 4-link quick return mechanism is shown in the figure. r1 = 50 cm, r2 = 25 cm, ℓ = 80 cm, and input link, A0C, is rotating with a constant angular velocity of ω = φ̇ = 4 rad/s. a) Perform the kinematic analysis analytically for the generalized coordinate of φ = 600. Find the positions and the velocities of the links 3 and 4. b) Write the scalar loop equations. c) Obtain s, θ, ṡ, θ̇ by performing velocity and acceleration analyses numerically for the positions calculated in (a). d) Calculate the velocity coefficient and the velocity of the point D.
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Transcript

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00:02 Hello everybody, here angular velocity of link 2 that is omega 2 is given as 4 radian per second.
00:10 Now from the given diagram we see that ac is equal to 102 that much millimeter that is 0 .102 that much meter.
00:24 Now length of link 2 that is l3 is given as 137 millimeter or 0 .137 meter.
00:35 Now theta is given as 102 degrees.
00:40 So velocity of point b relative to link 2 we also need to calculate the angular acceleration.
00:47 Now rb by a will be equal to 2 .58 that much inch and rb to c is equal to 4 .23 inch...
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