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Suppose a man standing on a flat wooden platform tries to pull himself up by pulling the two ropes downwards (refer to Fig. 1). The downward force applied on each rope is F, the mass of the man is m1 and the mass of the wooden platform is m2. Is it possible for the man to accelerate upwards? If it’s possible, then find an expression for the acceleration a (take the acceleration of gravity to be g), otherwise explain why it’s not possible.


 A venturi meter of 15 cm inlet diameter and 10 cm throat is load horizontally in a pipe to

measure the flow of oil of 0.9 specific gravity. The reading of a mercury manometer is 20 cm.

Calculate the discharge in m3/s.


Discuss the working principle of a linear variable differential transformer LVDT.


Discuss the Seebeck effect and one of its applications.


1. In a local bar, a customer slides an empty beer mug on the counter for a refill. The bartender does not see the mug, which slides off the counter and strikes the floor 1.40m from the base of the counter. If
the height of the counter is 0.860m.
a. With what speed did the mug
leave the counter.

b. What was the direction of the mug’s
velocity just before it hit the floor?

2. A projectile is launched from ground level with speed u at an angle of 
above the horizontal. Find in terms of u,
 and g by proving:

I. the maximum height H attained by the projectile,
II. the distance from the starting point at which the projectile strikes the ground; this is called the range R of the projectile.
a. In the sum A+B = C, vector A has a magnitude of 12.0m and is angled 40.0 degrees counterclockwise from the +x direction, and vector C has magnitude of 15.0m and is angled 20.0 degrees counterclockwise from
the −x direction. What are
i. the magnitude?
ii. the angle (relative to +x) of B?

b. An electron moving along the x axis has a position given by x = (16te exponent -t )m, where t is in seconds. How far is the electron from the origin when it momentarily stops?

c. A vector B, when added to the vector C = 3.0i+4.0j, yields a resultant vector that is in the positive y direction and has a magnitude equal to that of C. What is the magnitude of B?

The gravitational force exerted on a solid object is 5N. When the object is suspended from a spring scale and submerged in water the scale reads 3,50N find the density of the of the object.


A jet of water squirts out horizontally from a hole near the bottom of the tank . The tank is on a platform that is 1m above the ground .If the hole has a diameter of 3.5mm what is the height of the water level in the tank .

A 5,5 kg ball is thrown vertically down at 2,5 m/s from height of 2 m above the ground . If the coefficient of restitution between the ground and ball is 0.3 how high shall the ball rise after striking the ground

 An orifice meter has an orifice of 10 cm diameter and a coefficient of discharge of 0.65. If it fixed in a pipe of 25 cm diameter with flowing oil of 0.8 specific gravity. The pressure difference between the pipe and the orifice is measured by a mercury manometer that gives a reading of

80 cm. determine the flow rate.


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