A boat of weight 5800N is winched steadily up a slipway inclined at 35° to the horizontal. The winching cable is parallel to the slipway and the coefficient of friction between the boat and the slipway is 0.36. Calculate the following: a) The component of the boat's weight which acts parallel to the slipway; b) The component of the boat's weight which acts normal to the slipway; c) The friction force acting on the boat;

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A boat of weight 5800N is winched steadily up a slipway inclined at 35° to the horizontal.
The winching cable is parallel to the slipway and the coefficient of friction between the
boat and the slipway is 0.36.
Calculate the following:
a) The component of the boat's weight which acts parallel to the slipway;
b) The component of the boat's weight which acts normal to the slipway;
c) The friction force acting on the boat;
d) The force in the winching cable;
e) The power required to winch the boat at a velocity is 0.54 m/s.
Transcribed Image Text:A boat of weight 5800N is winched steadily up a slipway inclined at 35° to the horizontal. The winching cable is parallel to the slipway and the coefficient of friction between the boat and the slipway is 0.36. Calculate the following: a) The component of the boat's weight which acts parallel to the slipway; b) The component of the boat's weight which acts normal to the slipway; c) The friction force acting on the boat; d) The force in the winching cable; e) The power required to winch the boat at a velocity is 0.54 m/s.
A heavy goods vehicle of total mass 4.8 tonnes descends a hill with a gradient
of 8 degrees from the horizontal. During this motion, the vehicle experiences
a rolling resistance to its motion of 880 N.
Whilst travelling at a velocity of 72 km/h, its brakes are applied, and the truck
is brought uniformly to rest in a distance of 140 m. During this period of
constant deceleration, it may be assumed that the rolling resistance remains
constant at 880N, this being in addition to the retarding force applied by the
brakes.
Calculate for the vehicle whilst it is slowing down:
a) The vertical height through which it descends.
b) Its decrease in potential energy.
c) Its initial velocity in m/s.
Its decrease in kinetic energy.
Transcribed Image Text:A heavy goods vehicle of total mass 4.8 tonnes descends a hill with a gradient of 8 degrees from the horizontal. During this motion, the vehicle experiences a rolling resistance to its motion of 880 N. Whilst travelling at a velocity of 72 km/h, its brakes are applied, and the truck is brought uniformly to rest in a distance of 140 m. During this period of constant deceleration, it may be assumed that the rolling resistance remains constant at 880N, this being in addition to the retarding force applied by the brakes. Calculate for the vehicle whilst it is slowing down: a) The vertical height through which it descends. b) Its decrease in potential energy. c) Its initial velocity in m/s. Its decrease in kinetic energy.
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