Problem 14.2 A jet of water (r = 1000 kg/m³) is deflected by a vane mounted on a cart. The water jet has a constant cross-sectional area, A = 50 cm², which is projected off the vane at an angle q = 30° with respect to the horizontal. The pressure everywhere within the jet is atmospheric. The incoming jet velocity (with respect to the ground) is Vjet = 4.5 m/s. The cart has mass 50kg. Determine: a. the forces, Fx and Fy required to hold the cart stationary Vjet Veart Fy 8 Fx b. the horizontal force component, Fx, if the cart moves to the right at the constant velocity, Vcart = 3 m/s c. the horizontal acceleration of the cart at the instant when the cart moves with velocity Vcart = 2.5 m/s if no horizontal forces are applied

Problem 14.2 A jet of water (r = 1000 kg/m³) is deflected by a vane mounted on a cart. The water jet has a constant cross-sectional area, A = 50 cm², which is projected off the vane at an angle q = 30° with respect to the horizontal. The pressure everywhere within the jet is atmospheric. The incoming jet velocity (with respect to the ground) is Vjet = 4.5 m/s. The cart has mass 50kg. Determine: a. the forces, Fx and Fy required to hold the cart stationary Vjet Veart Fy 8 Fx b. the horizontal force component, Fx, if the cart moves to the right at the constant velocity, Vcart = 3 m/s c. the horizontal acceleration of the cart at the instant when the cart moves with velocity Vcart = 2.5 m/s if no horizontal forces are applied

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Problem 14.2
A jet of water (r = 1000 kg/m³) is deflected by a
vane mounted on a cart. The water jet has a
constant cross-sectional area, A = 50 cm², which is
projected off the vane at an angle q = 30° with
respect to the horizontal. The pressure
everywhere within the jet is atmospheric. The
incoming jet velocity (with respect to the ground)
is Vjet = 4.5 m/s. The cart has mass 50kg.
Determine:
a. the forces, Fx and Fy required to hold the cart
stationary
Vjet
Vcart
Fy
Fx
b. the horizontal force component, Fx, if the cart moves to the right at the constant velocity, Vcart = 3 m/s
c. the horizontal acceleration of the cart at the instant when the cart moves with velocity Vcart = 2.5 m/s if
no horizontal forces are applied
Ans: a) 10 N <Fx < 20 N; 500 N < Fy< 600 N; b) Fx < 10 N; c) 0 < x < 1 m/s²
dVx
dt

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