Please answer both i and ii At one point in the production line of a manufacturi

Question

Please answer both i and ii

At one point in the production line of a manufacturing plant, produced blocks are transferred from conveyor belt A to conveyor belt B along a smooth wet slide. Each block leaves conveyor belt A with a velocity of 0.5 m/s. The slide is composed of two circular sections with radii of curvature of ri_1 = 1.0m and r_2 = 1.3m respectively. i. Using Newton's second law and normal tangent coordinates within each section of the slide: a. Derive an expression for the force acting on the block in the tangent direction and use this to compute the velocity of the block at point B. Assume negligible friction. b. Derive an expression for the normal force acting on the block in the normal direction where the mass of the block is m. ii. Recompute the velocity of the box at point B using principles of work and kinetic energy

Explanation / Answer

1)

With Mass Stationary External Forces Are Tensions In Strings And Weight TensionTa=/Ta/Ea=/Ta/(-i)

Tension B T=R1/R2/=Tb/(i cos(45)+jsin(45)=1/2/Tb/(i+j)

Weight W=-mgj

Equillibrium ConditionF=R1+R2+W=0

Two Equations/Rb/(1/2)=mg/Rb/(1/2)=/Ra/

/Rb=(2mg&Ra=mg

Immediately After A Cut Velocity Zero

2)

Newtons 2nd Law Of Motion For Block1T-UkN1=w/gA1

Block2-T-UkN2+Wsin=(w/g)a2

Summation Of Forces N1=W,N2=W Cos

one to one a1=a2=a,T-UkW=(w/g)a----ans

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