Turn on thread page Beta
    • Thread Starter
    Offline

    0
    ReputationRep:
    A tug, of mass 9000kg, is pulling a boat, of mass 5000kg, by means of an inextensible string along a straight canal. The resistive forces opposing the motions of the tug and boat are 1500N and 800N respectively. Calculate, in N, the tension in the string when the tug is accelerating at 0.5ms^-2.
    Offline

    15
    ReputationRep:
    N2 on the system:

    F - 1500 - 800 = (9000 + 5000)/2

    => F = 9300 N

    N2 on the tug:

    9300 - 1500 - T = 9000/2

    => T = 3300 N
    • Thread Starter
    Offline

    0
    ReputationRep:
    wow...ppl here are so smart
    Offline

    0
    ReputationRep:
    Hehe

    You didn't -really- need the first part of your working though...


    Using N2L:
    F = ma = 0.5 x 5000 --- (1)

    Resultant force on boat: F = N - 800 --- (2)

    Sub (2) -> (1):

    N - 800 = 0.5 x 5000
    .: N = (0.5 x 5000) + 800
    .: N = 3300N


    I think we've probably just been taught to do them differently though. Usually, we use the whole system to find the acceleration, then work on the individual segments (starting from the last attachment)... I love these questions!
    Offline

    15
    ReputationRep:
    (Original post by Aeroxyn)
    You didn't -really- need the first part of your working though...
    Your -technically- still doing what I'm doing, solving 2 equations in 2 unknowns.
 
 
 

University open days

  • University of East Anglia (UEA)
    Could you inspire the next generation? Find out more about becoming a Secondary teacher with UEA… Postgraduate
    Thu, 18 Oct '18
  • University of Warwick
    Undergraduate Open Days Undergraduate
    Sat, 20 Oct '18
  • University of Sheffield
    Undergraduate Open Days Undergraduate
    Sat, 20 Oct '18
Poll
Who is most responsible for your success at university

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.