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Concept drill

Kinetic Energy

GATE Mechanical Engineering · Mechanics - Rotational Motion / Kinematics · 2001-2024

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2024 Q23

The change in kinetic energy ΔE of an engine is 300 J, and minimum and maximum shaft speeds are ω_min = 220 rad/s and ω_max = 280 rad/s, respectively. Assume that the torque-time f...

medium
2019 Q29

A ball of mass 3 kg moving with a velocity of 4 m/s undergoes a perfectly-elastic direct-central impact with a stationary ball of mass m. After the impact is over, the kinetic ener...

mediumanswer key
2018 Q14

A particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by r(t) = t^2, θ(t) = t, where t is time. The kinetic energy of the particle at time t...

hardanswer key
2017 PYQ

A Particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by $$r\left( t \right) = {t^2},\theta \left( t \right) = t,$$ where $$t$$ is time. The...

easyanswer key
2014 PYQ

An annular disc has a mass m, inner radius R and outer radius $$2R$$. The disc rolls on a flat surface without slipping. If the velocity of the center of mass is $$v,$$ the kinetic...

mediumanswer key
2012 PYQ

A circular solid disc of uniform thickness $$20mm,$$ radius $$200mm$$ and $$mass$$ $$20kg,$$ is used as a fly wheel. If it rotates at $$600$$ $$rpm,$$ the kinetic energy of the fly...

easyanswer key
2007 PYQ

The speed of an engine varies from $$210$$ rad/s to $$190$$ rad/s. During cycle the change in kinetic energy is found to be $$400$$ Nm. The inertia of the flywheel in kgm 2 is

easyanswer key
2007 PYQ

During inelastic collision of two particles, which one of the following is conserved?

easyanswer key
2001 PYQ

A small steam whistle (perfectly insulated and doing no shaft work) causes a drop of $$0.8$$ $$kJ/kg$$ in the enthalpy of steam from entry to exit. If the kinetic energy of the ste...

easyanswer key