Question

Given: 

The particle has a known mass m and is confined to move along the smooth horizontal slot due to the rotation of the rod OA. Also, the rod is rotating with a known constant angular velocity of θ. Assuming the particle contacts only one side of the slot at any instant, 

Find: 

a) The radial (v_r) and transverse components (v_θ) of the particle's velocity at the given instant. 

b) The radial (a_r) and transverse components (a_θ) of the particle's acceleration at the given instant. 

c) Draw the COMPLETE free body diagram (FBD) of the particle's for the position shown using radial (r) and transverse (θ) coordinates 

d) The force that rod OA exerts on the particle when θ is known. 

e) The normal force that the slot exerts on the particle when θ is known. 

Answer 1

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PAGEZ calculate the value of tans vesse component. of Ancelestion ao = së + zoo -0.5174() +2[1055e mi to do) 2123] ..8 - 2.667 m/? *© F.BD 0.5/9.8W) 30 Kde = moj - Caliculate the magnitude of nord force Efr NCS zo -0.5/918)) cszó = 05 (15) [N=500

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Answer 2

J 5 12 caso š i w criven dato: o mass (m) rod OA Angulas relocity (8) Assumption ; particle Contacte only one side of the slot at any instant- a), position vecter. "OA h sero ar caso =) 8 radial velocity Vy trans var velocity ve = rome trovo w w Radial Transures b) Radial compenente perticles drn. 2 aror -ro of Angle h[seca tan od sectos + seco tano 0] - {ch sec o ) 03. transuers comoprente code arotzi ' t ♡ V do re we , we 2 2 = t h secoö +28 tanda ao oro {o co} e) FBD mg r Z

d) force that rod of exerts on the pertide when o is known & fo a malo ft ng sind N sind = ma ao fotmgo- ng sino t N sino, Newtone. a) Normal foro that the slot aserte on the particle when o is known E fr o mar. ng . N Caso img caso 11 mar. No matg cas of caso. Newtars