Block Platform
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Block Platform
Frictionless block slides with speed 5 m/s along the road and enters on horizontal platform of a drawbridge?
http://upload.wikimedia.org/wikipedia/commons/6/60/MovableBridge_draw.gif
The moment when the block eneters the platform, the platform comes into motion, raising at constant angualar speed 0.01rad/s.
At what elevation above the ground will the block come to rest wrt raising platform, and reverse direction of its motion?
Centripetal force is sufficiently small and can be ignored.
At an arbitrary position where the bridge is at an angle θ to the horizontal, the block is at r m from the starting position, travelling with radial velocity and acceleration r' and r" respectively.
Radial acceleration, ar = r" - rω^2
=~ r"
The only force acting in the radial direction is the component of the weight, mgsinθ
So r" = dv/dt = -g*sinθ
dv/dθ*dθ/dt = RHS
ω*dv/dθ = -g*sinθ
ω/g *dv = -sinθdθ
ω/g *(v-5)= cosθ - 1 ... (1)
v = 0 when θ = 5.79 deg = 0.101 radians
Now write v = dr/dt = dr/dθ*dθ/dt
= ω*dr/dθ
(v-5)= g/ω *(cosθ - 1)
dr/dθ = 5/ω + g/ω^2 *(cosθ - 1)
r = (5/ω)θ + (g/ω^2) *(sinθ - θ)
r(0.101) = 33.66 m
Vertical elevation = 33.66 *sin(0.101)
= 3.39 m
Note that the final potential energy is greater than the initial kinetic energy because work is required in order to elevate the block.
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Premier Platform Lift Improves Access at Ayrshire County Council
Ardrossan Civic Centre in Ayrshire, on Scotland’s Clyde coast, recently underwent refurbishment work, which included a movemanSKG Premier Plus stair lift and several access ramps. The improvements bring the centre into line with the Disability Discrimination Act (DDA) and allow it to accommodate visitors with mobility problems.
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About the Author
Boyd Porter is movemanSKG's Sales Manager.
Please direct all enquiries to boyd.porter@otis.com
movemanSKG is the UK market leader for specialist lifts. It was one of the first companies to recognise the special access needs of the wheelchair user and has subsequently installed over one thousand units.
As part of Otis it has unrivalled financial and technical resources. We offer technical expertise and advice to users and specifiers of these types of products.
For more information visit www.movemanskg.co.uk
A search of the dictionary and many online sources define an auction block as “a platform from which an auctioneer sells.” This makes more sense to me to have the auctioneer standing above the crowd in order to be seen and heard while selling objects whether it be tobacco, cattle or slaves. Of course the crowd must also see the object being offered for sale. With no historical basis for my thoughts, but with both historical and contemporary definitions of an auction block, it would seem that this is the stump or block on which the auctioneer stands, not the object of sale.
Another use has been suggested and that is that the object was a “mounting block” for mounting horses or entering carriages. Since this object is in front of a building which was a hotel, this too seems plausible. It will be interesting to see if additional research confirms whether indeed this was the auctioneers platform or the place where an enslaved individual stood for sale.