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A crate is lowered at a constant velocity of 2.5 ms-1 by means of a cable wrapped round a pulley. The effective diameter of the pulley 0.20m. Calculate the:
i. angular velocity of the pulley
ii. number of revolutions it makes when the crate descends 15 m.
The rate of flow, Q, of liquid in a cylindrical tube is given by the equation
Q = πr4 ΔP/(8ηL), where
Q = rate of flow of liquid (m3/s)
r = radius of the tube, (m)
L = length of the tube (m)
ΔP = pressure difference between the ends of the tube (Pa)
i. Find the dimensions of the dimensions of the quantities r4 , Q and ΔP.
ii. Determine the dimensions of the quantity η.
1.) A flat, circular disk of uniform thickness has a radius of 5.00 cm. A hole is drilled in the disk that is 2.50 cm in radius. The hole is tangent to one side of the disk. Where is the x-component of the centre of mass of the disk now that the hole has been drilled?
2.a) A 0.100 kg ball collides elastically with a 0.300 kg ball that is at rest. The 0.100 kg ball was traveling in the positive x-direction at 6.30 m/s before the collision. What is the velocity of the 0.300 kg ball after the collision? If the velocity is in the negative x-direction, enter a negative value.
2.b) What is the velocity of the 0.100 kg ball after the collision? If it is in the negative direction, enter a negative value.
एक 10gm की बॉल 5m/s की चाल से चलती हुई ठोस सतह से ऊर्ध्वाधर रूप से टकराती है तथा समान चाल से वापस उछलती है यदि बॉल सतह के साथ 0.01 sec तक संपर्क में रहती है | तो सतह द्वारा बॉल पर लगाया गया औसत बल क्या होगा
Students in the lab (see Figure 10.5) measure the speed
of a steel ball to be 8.0 m/s when launched horizontally
from a 1.0-m-high tabletop. Their objective is to place a
20-cm-tall coffee can on the floor to catch the ball. Show
that they score a bull’s-eye when the can is placed 3.2 m
from the base of the table.
Q2 A vertical jet of water of diameter 20 mm and with velocity 20 m/s strikes a curved cup as shown in Figure 2 below. Determine the force on the cup if Figure 2 Vertical Curved Cup a) frictional losses are neglected (5 marks) b) friction causes a reduction in velocity of 5% of the water leaving the cup (5 marks) c) the angle of water leaving the cup is 10° and frictional losses are neglected (5 marks) d) the angle of water leaving the cup is 30° and friction causes a reduction in velocity of 15 % of the water leaving the cup (5 marks)
The water tank shown in Figure 1 below is being filled through section 1 at a velocity of 5 m/s. The discharge flow rate through section 3 is 0.012 m3 /s. Figure 1: Pipe Flow through water tank a) If the water level h is constant, determine the exit velocity v2 b) Give assumption to velocity at section 3 and determine the pipe diameter for section 3 (5 marks) (5 marks) c) If the water level varies (change), and velocity at section 2 is 8 m/s, determine the rate of level change, dh/dt . Assume d = 1.0 m. State whether the level is increasing or decreasing. (5 marks) d) Check whether the mass flow rate at constant level h is following the continuity equation concept if the water flows at constant temperature 25⁰C (5 marks)
If the velocity distribution of a fluid over a plate is given by u = (3/4)y – y 2 , where u is the velocity
in metre per second at a distance of y metres above the plate, determine the shear stress at
y = 0.15 metre. Take a dynamic viscosity of a fluid as 8.5 x 10 -5 kg.s/m 2 .
A body is thrown at a velocity v0 up a non-smooth slope whose angle of inclination is alpha = 37 degrees. The kinetic coefficient of friction between the graph and the surface is u. The graph in front of you describes the acceleration of the body from the beginning of its movement up the slope until the moment it returns to the bottom of the slope
A. Using the graph, determine the initial velocity V0 and calculate how many meters the body rose along the slope in. B. Using the graph, determine the final velocity of the body when it reaches the bottom of the slope.
C. Draw a graph of the velocity of the body from the moment it is thrown up the sloping plane until it returns to the bottom of the plane.
D. Indicate in your notebook the diagrams of the forces acting on the body during the ascent and during the descent.
E. Calculate u
.
https://ibb.co/71wKS4D
https://ibb.co/k52Nmwk
A body is thrown at a velocity v0 up a non-smooth slope whose angle of inclination is alpha = 37 degrees. The kinetic coefficient of friction between the graph and the surface is u. The graph in front of you describes the acceleration of the body from the beginning of its movement up the slope until the moment it returns to the bottom of the slope
A. Using the graph, determine the initial velocity V0 and calculate how many meters the body rose along the slope in. B. Using the graph, determine the final velocity of the body when it reaches the bottom of the slope.
C. Draw a graph of the velocity of the body from the moment it is thrown up the sloping plane until it returns to the bottom of the plane.
D. Indicate in your notebook the diagrams of the forces acting on the body during the ascent and during the descent.
E. Calculate u
.
https://ibb.co/71wKS4D
https://ibb.co/k52Nmwk
