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A large tank containing water of constant density 1000 kg/m³ is fixed to a cart with frictionless wheels as shown in Figure 4(a). Located 1.0 m below the water's free surface is a smoothly contoured nozzle of 20 mm diameter, where jet of water is issued horizontally with a velocity V. The water level in the tank is kept constant by continuously injecting water vertically through a 50 mm diameter downpipe above the top of the tank. The horizontal water jet from the nozzle impinges on a deflector, which redirects the water jet through an angle of 55°. The deflector is mounted rigidly on a separate cart with frictionless wheels, and is held stationary by a spring (A) connected to a sidewall as shown in the figure. The cart with the water tank is held stationary by spring (B) attached to another wall. (b) (c) Determine the velocity of water (U) from the downpipe in order to maintain constant height of water in the tank. Determine the force exerted by spring A to keep the cart carrying the deflector stationary. Determine the force exerted by spring B to keep the cart carrying the water tank stationary. (d) If the water tank, its content and the cart weigh 2.5 kN, what is the total vertical force exerted by the floor on the four wheels of the cart carrying the tank? If the deflector and the cart weigh 50 N, what is the total vertical force exerted by the floor on the four wheels of the cart carrying the deflector? If spring A is now attached to the cart carrying the water tank as shown in Fig 4(b), and the rest remains the same, what is the new force exerted by Spring A and Spring B in order to keep both the carts stationary.

A large tank containing water of constant density 1000 kg/m³ is fixed to a cart with frictionless wheels as shown in Figure 4(a). Located 1.0 m below the water's free surface is a smoothly contoured nozzle of 20 mm diameter, where jet of water is issued horizontally with a velocity V. The water level in the tank is kept constant by continuously injecting water vertically through a 50 mm diameter downpipe above the top of the tank. The horizontal water jet from the nozzle impinges on a deflector, which redirects the water jet through an angle of 55°. The deflector is mounted rigidly on a separate cart with frictionless wheels, and is held stationary by a spring (A) connected to a sidewall as shown in the figure. The cart with the water tank is held stationary by spring (B) attached to another wall. (b) (c) Determine the velocity of water (U) from the downpipe in order to maintain constant height of water in the tank. Determine the force exerted by spring A to keep the cart carrying the deflector stationary. Determine the force exerted by spring B to keep the cart carrying the water tank stationary. (d) If the water tank, its content and the cart weigh 2.5 kN, what is the total vertical force exerted by the floor on the four wheels of the cart carrying the tank? If the deflector and the cart weigh 50 N, what is the total vertical force exerted by the floor on the four wheels of the cart carrying the deflector? If spring A is now attached to the cart carrying the water tank as shown in Fig 4(b), and the rest remains the same, what is the new force exerted by Spring A and Spring B in order to keep both the carts stationary.

Elements Of Electromagnetics
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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A large tank containing water of constant density 1000 kg/m³ is fixed to a cart with frictionless wheels as shown in Figure 4(a). Located 1.0 m below the water's free surface is a smoothly contoured nozzle of 20 mm diameter, where jet of water is issued. horizontally with a velocity V. The water level in the tank is kept constant by continuously injecting water vertically through a 50 mm diameter downpipe above the top of the tank. The horizontal water jet from the nozzle impinges on a deflector, which redirects the water jet through an angle of 55°. The deflector is mounted rigidly on a separate cart with frictionless wheels, and is held stationary by a spring (A) connected to a sidewall as shown in the figure. The cart with the water tank is held stationary by spring (B) attached to another wall. (a) (b) (c) (d) (e) Determine the velocity of water (U) from the downpipe in order to maintain constant height of water in the tank. Determine the force exerted by spring A to keep the cart carrying the deflector stationary. Determine the force exerted by spring B to keep the cart carrying the water tank stationary. If the water tank, its content and the cart weigh 2.5 kN, what is the total vertical force exerted by the floor on the four wheels of the cart carrying the tank? If the deflector and the cart weigh 50 N, what is the total vertical force exerted by the floor on the four wheels of the cart carrying the deflector? If spring A is now attached to the cart carrying the water tank as shown in Fig 4(b), and the rest remains the same, what is the new force exerted by Spring A and Spring B in order to keep both the carts stationary. Note: You may assume the flow to be inviscid and the deflector to be frictionless. You may further assume the effect of gravity on the water jet leaving the tank to be negligible (i.e. the water jet remains horizontal). Wall: Wall 50 mm B www Spring B www V Spring Qm³/s Š Water O 50 mm p=1000 kg/m³ V Um/s Water 1.0 m Qm²/s Downpipe Um/s Wheel trolley 1.0 m Water jet 20 mm V -Downpipe p=1000 kg/m³ 55° New location of Spring B Deflector Wall (a) wwwwww Ground Spring Water jet 55° 20 mm 도시 V Deflector Wall (b) Ground
Transcribed Image Text:A large tank containing water of constant density 1000 kg/m³ is fixed to a cart with frictionless wheels as shown in Figure 4(a). Located 1.0 m below the water's free surface is a smoothly contoured nozzle of 20 mm diameter, where jet of water is issued. horizontally with a velocity V. The water level in the tank is kept constant by continuously injecting water vertically through a 50 mm diameter downpipe above the top of the tank. The horizontal water jet from the nozzle impinges on a deflector, which redirects the water jet through an angle of 55°. The deflector is mounted rigidly on a separate cart with frictionless wheels, and is held stationary by a spring (A) connected to a sidewall as shown in the figure. The cart with the water tank is held stationary by spring (B) attached to another wall. (a) (b) (c) (d) (e) Determine the velocity of water (U) from the downpipe in order to maintain constant height of water in the tank. Determine the force exerted by spring A to keep the cart carrying the deflector stationary. Determine the force exerted by spring B to keep the cart carrying the water tank stationary. If the water tank, its content and the cart weigh 2.5 kN, what is the total vertical force exerted by the floor on the four wheels of the cart carrying the tank? If the deflector and the cart weigh 50 N, what is the total vertical force exerted by the floor on the four wheels of the cart carrying the deflector? If spring A is now attached to the cart carrying the water tank as shown in Fig 4(b), and the rest remains the same, what is the new force exerted by Spring A and Spring B in order to keep both the carts stationary. Note: You may assume the flow to be inviscid and the deflector to be frictionless. You may further assume the effect of gravity on the water jet leaving the tank to be negligible (i.e. the water jet remains horizontal). Wall: Wall 50 mm B www Spring B www V Spring Qm³/s Š Water O 50 mm p=1000 kg/m³ V Um/s Water 1.0 m Qm²/s Downpipe Um/s Wheel trolley 1.0 m Water jet 20 mm V -Downpipe p=1000 kg/m³ 55° New location of Spring B Deflector Wall (a) wwwwww Ground Spring Water jet 55° 20 mm 도시 V Deflector Wall (b) Ground
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