A solid cylinder rolls up an inclined plane without slipping. If the incline makes an angle of to the horizontal and the coefficient of static friction is
, find its acceleration. Also determine the angle of the inclined plane at which the object will start to slip.
Let a solid cylinder of mass (m) and radius (R) roll up an inclined plane of angle (\theta) without slipping. The forces acting on it are gravity (mg), normal reaction (N), and static friction (f) acting up the incline to prevent slipping. The _____ __________ __________ __________ ____ __________ ______ __________ ____ ___ ___ _______.
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A stationary ball, with a mass of , is struck by an identical ball moving at
. After the collision, the second ball moves
to the left of its original direction. The stationary ball moves
to the right of the moving ball's original direction. What is the velocity of each ball after the collision?
The speed of an aeroplane is . The engines take in 80 kg of air per second and mix it with 40 kg of fuel. This mixture is expelled after it ignites and it moves at a velocity of
relative to the aeroplane. Calculate the thrust of the engine.
A block of mass slides from rest at a height of
down to a horizontal surface where it passes over a
rough patch. After crossing this patch it climbs up another incline which is at an angle of
to the ground. The rough patch has a coefficient of kinetic friction
. What height does the block reach on the incline before it comes to rest?
पानी () के एक अणु में हाइड्रोजन और ऑक्सीजन परमाणुओं के बीच की दूरी
है। दोनों ऑक्सीजन-हाइड्रोजन आबंधों के बीच का कोण
है। परमाणुओं को कण मानते हुए, इस निकाय का संहति केंद्र निर्धारित करें।
A particle of mass , initially moving with a velocity of
collides elastically with a particle of mass
, initially moving with a velocity of
. What are the velocities of the two particles before and after the collision in the centre of mass frame of reference? What are the velocities of the two particles after the collision in the laboratory frame?
A 2400 W engine pulls a 200 kg block at constant speed up a 12.0 m long, 25.0° incline. Determine long does it takes to cover this distance.
In what direction and with what angular speed does the merry-go-round rotate?