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14

15

a)
b)

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0.4.The ladder supports a weight of 900N at a distance of 1൩ along the ladder

from its top. Compute the least value of the angle between the floor and the

ladder for its equilibrium.

A semicircular area is removed from the trapezoid as in figure. Determine the
centroid of remaining area. Also find the moment of inertia of the section about (10)

the horizontal centroidal axis.

100mm,
150mm

410mm 1000000

State Parallel axis Theorem. (2)
A block weighing 2000N has to be raised by a 10° wedge.The block rests (8)
against a wall on one side. Assuming an angle of friction of 16° for all contact

surfaces, determine the minimum value of P.

SET III
(ANSWER ANY 2 QUESTIONS : 2 X 10 = 20 MARKS

An elevator weights 2500 N and is moving vertically downwards with constant (10)
acceleration. Write the equation for the elevator cable tension. Starting from rest

it travels a distance of 35 metres during an interval of 10 seconds. Find the cable
tension during this time. Neglect all other resistances to motion. What are the

limits of cable?

A body of mass 50 kgs is suspended by two springs of stiffness 4kN/m and (10)
6 kN/m. The body is pulled 50 mm down from its equilibrium position and then

released. Calculate the frequency of oscillation, maximum velocity and