Applied Mechanics and Graphic Statics If the resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’ makes an angle ‘α’ with ‘P’, then tan α equals Q sin θ/P + Q cos θ P sin θ/P + Q tan θ P sin θ/P - Q cos θ Q sin θ/P + Q sin θ Q sin θ/P + Q cos θ P sin θ/P + Q tan θ P sin θ/P - Q cos θ Q sin θ/P + Q sin θ ANSWER DOWNLOAD EXAMIANS APP
Applied Mechanics and Graphic Statics If a particle moves with a uniform angular velocity ‘ω’ radians/sec along the circumference of a circle of radius ‘r’, the equation for the velocity of the particle, is y = ω √(y - r) v = ω √(r² + y²) v = ω √(r² - y²) v = ω √(y² - r²) y = ω √(y - r) v = ω √(r² + y²) v = ω √(r² - y²) v = ω √(y² - r²) ANSWER DOWNLOAD EXAMIANS APP
Applied Mechanics and Graphic Statics The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth) r2 r 1/r log r r2 r 1/r log r ANSWER DOWNLOAD EXAMIANS APP
Applied Mechanics and Graphic Statics On a mass ‘m’ describing a circular path of radius ‘r’, the centrifugal force Acts towards the centre of rotation Is mw2r/g kgf Acts tangentially to the circular path Acts away from the centre of rotation Acts towards the centre of rotation Is mw2r/g kgf Acts tangentially to the circular path Acts away from the centre of rotation ANSWER DOWNLOAD EXAMIANS APP
Applied Mechanics and Graphic Statics If ‘l’ is the span of a light suspension bridge who’s each cable carries total weight (w) and the central dip is ‘y’, the horizontal pull at each support, is wl/8y wl/4y wl wl/2y wl/8y wl/4y wl wl/2y ANSWER DOWNLOAD EXAMIANS APP
Applied Mechanics and Graphic Statics A block in the shape of a parallelepiped of sides 1m × 2m × 3m lies on the surface. Which of the faces gives maximum stable block? 1 m × 2 m Equally stable on all faces 2 m × 3 m 1 m × 3 m 1 m × 2 m Equally stable on all faces 2 m × 3 m 1 m × 3 m ANSWER DOWNLOAD EXAMIANS APP