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A point moves in a straight line with simple harmonic motion. When it is 500mm to the right of the mean position and moving to the left, the velocity is 3m/s. When it is 1 meter to the left of the mean position and moving to the right, the velocity is 2m/s.
A point moves in a straight line with simple harmonic motion. When it is 500mm to the right of the mean position and moving to the left, the velocity is 3m/s. When it is 1 meter to the left of the mean position and moving to the right, the velocity is 2m/s.
A ball is fastened by a light inextensible cord 5m long to a point 3m above the level of a smooth horizontal table, and is than caused to rotate in a horizontal circle. Determine the following:
(a) The angular velocity of the ball in rpm so as to just keep clear of the surface of the table.
(b) If the mass of the ball is 6kg determine the tension in the string when it rotates at 17.3 rpm
Fluid at atmospheric pressure. Additional fluid is then pumped in till the pressure increases by 7 N/mm. Find the volume of this additional fluid given that 1/m=0.25 and
E=2.1X 10
two point loads, W at the free end and 2W at a distance of a
from the free end. Find the maximum deflection due to this
loading.
If the cantilever is a steel tube of circular section 150 mm
external diameter and 9 mm thick and -2.3 m and a=0.8 m,
determine the value of W so that the maximum bending
stress is 165 N/mm and calculate the maximum deflection
for the loading. Take E=2X 10
A fan delivers 1.75 cu.m/sec of air at a static pressure of 2.5 cm WG through a circular duct with a diameter of 300 mm and discharges it through a 250 - mm diameter duct. If the fan static efficiency is 76%, determine the brake power input to the fan
The radiation shape factor of the circular surface of a thin hollow cylinder of 10 cm diameter and 10 cm length is 0.1716. What is the shape factor of the curved surface of the cylinder with respect to itself?
Over the years, a medical researcher has found that one out of every ten diabetic patients receiving insulin develops antibodies against the hormone, thus, requiring a more costly form of medication.
Find the probability that in the next 5 patients the researcher treats, none will develop antibodies against insulin.
Round your answer to 5 decimal places.
An open belt 100mm wide connects two pulleys mounted on parallel shaft with their centres 2.4m apart. The diameter of the larger pulley is 450mm and that of the smaller pulley 300mm. The coefficient of friction between the belt and the pulley is 0.3 and the maximum stress in the belt is limited to 14N/mm width. If the larger pulley rotates at 120 rpm. Find the maximum power that can be transmitted
