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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

Proportional to A
Independent of A
Proportional to A²
Proportional to 1/A²

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Applied Mechanics and Graphic Statics
A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)

43832
43833
43834
43835

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Applied Mechanics and Graphic Statics
A projectile is thrown at an angle ‘α’ to the horizontal with velocity ‘v’. It will have the maximum centripetal acceleration

At the start
Elsewhere
As it strikes the ground
At the top of the trajectory

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Applied Mechanics and Graphic Statics
The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is

89 J
64 J
400 J
464 J

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Applied Mechanics and Graphic Statics
For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

α = π/4 - β/2
α = β/2 - π/2
α = π/4 - β/2
α = π/2 + β/2

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Applied Mechanics and Graphic Statics
For a simple pendulum, time period for a beat, is

π √(2l/g)
π √(l/g)
π √(l/2g)
π √(g/2l)

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