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A cam and oscillating follower mechanism is shown in the figure below. The Mobility of the mechanism is
Question

A cam and oscillating follower mechanism is shown in the figure below. The Mobility of the mechanism is

A.

-1

B.

0

C.

1

D.

2

Correct option is C

Gruebler’s Equation (Planar):M=3(n1)2j1j2Where:M=mobility (degree of freedom)n=number of links (including the frame)j1=number of lower pairs (1 DOF joints like revolute or prismatic)j2=number of higher pairs (like cam-follower contact – 1 DOF but special case)\textbf{Gruebler’s Equation (Planar):} \\M = 3(n - 1) - 2j_1 - j_2 \\\\\text{Where:} \\M = \text{mobility (degree of freedom)} \\n = \text{number of links (including the frame)} \\j_1 = \text{number of lower pairs (1 DOF joints like revolute or prismatic)} \\j_2 = \text{number of higher pairs (like cam-follower contact – 1 DOF but special case)}

n=3(Cam, follower, frame)j1=2(2 revolute joints)j2=1(cam-follower contact)M=3(31)2(2)1=641=1n = 3 \quad \text{(Cam, follower, frame)} \\j_1 = 2 \quad \text{(2 revolute joints)} \\j_2 = 1 \quad \text{(cam-follower contact)} \\\\M = 3(3 - 1) - 2(2) - 1 = 6 - 4 - 1 = \boxed{1}​​​

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