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PART A: Part A The pulley in (Figure 1) represents different pulleys that are at

ID: 1786971 • Letter: P

Question

PART A:

Part A The pulley in (Figure 1) represents different pulleys that are attached with outer radius and inner radius indicated in the table. The horizontal rope is pulled to the right at a constant linear speed that is the same in each case, and none of the two separate ropes slips in its contact with the pulley Rank these scenarios on the basis of the linear speed of the block. Rank from largest to smallest. To rank items as equivalent, overlap them. Hints Reset Help Roter 0.8 m Rinner 0.4 m 11 Ruter = 0.6 m Rinner - 0.5 m Roter-0.4 m Rainee 0.2 m Router 0.4 m Rinner 0.3 m | | Router 0.2 m Roter0.6 m m Rinner - 0.2 m Rinner - 0.1 largest smallest The correct ranking cannot be determined. Figure 1 of 2 Submit My Answers Give Up Incorrect; Try Again; 5 attempts remaining Analysis of a single pulley Several points on the pulley are indicated in (Figure 2). Each letter designates a point on either the pul constant linear speed, and neither rope slips in its contact with the pulley

Explanation / Answer

let the velocity at which outer rope is puuled be v

1st scenario : outer radius = 0.8m

inner radius = 0.4 m

velocity of block = v*(0.4/0.8)=0.5v

2nd scenario : outer radius =0.6m

inner radius = 0.5m

velocity of block = v*(0.5/0.6)=0.833v

3rd scenario : outer radius = 0.4m

inner radius = 0.2 m

velocity of block = v*(0.2/0.4)=0.5v

4th scenario : outer radius=0.4m

inner radius = 0.3m

velocity of block = v*(0.3/0.4)=0.75v

5th scenrio : outer radius = 0.2 m

inner radius = 0.1 m

velocity of block =v*(0.1/0.2)=0.5v

6th scenario : outer radius = 0.6m

inner radius = 0.2 m

velocity of block = v*(0.2/0.6)=0.33v

the order of largest to smallest is

2>4>1=3=5>6