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Classical Mechanics
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https://eksiup.com/p/zh2525055pgx
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Classical Mechanics
A circular table of radius rotates about its center with an angular velocity 'w'. The surface of the table is smooth. A groove is dug along the surface of the table at a distance 'd' from the centre of the table till the circumference. A particle is kept at the starting point of groove and then released. Find the velocity of the particle when it reaches the end of the groove.
Solve it in inertial frame of reference
Solve it in inertial frame of reference
Classical Mechanics
One strategy in a snowball fight is to throw
a snowball at a high angle over level ground.
While your opponent is watching this first
snowball, you throw a second snowball at a
low angle and time it to arrive at the same
time as the first.
Assume both snowballs are thrown with
the same initial speed 34.7 m/s. The first
snowball is thrown at an angle of 66◦
above
the horizontal. At what angle should you
throw the second snowball to make it hit the
same point as the first? The acceleration of
gravity is 9.8 m/s
2
.
Answer in units of ◦
a snowball at a high angle over level ground.
While your opponent is watching this first
snowball, you throw a second snowball at a
low angle and time it to arrive at the same
time as the first.
Assume both snowballs are thrown with
the same initial speed 34.7 m/s. The first
snowball is thrown at an angle of 66◦
above
the horizontal. At what angle should you
throw the second snowball to make it hit the
same point as the first? The acceleration of
gravity is 9.8 m/s
2
.
Answer in units of ◦
Classical Mechanics
2. A wood block of mass rests on a larger wood block of mass that rests on a wooden table. What is the minimum horizontal force, F, applied to the lower block that will cause it to slide out from under the upper block?
Classical Mechanics
Using only the constants G = 6.67 x 10^-11 m^3/kg/s^2 and c = 3.00 x 10^8 m/s and dimensional analysis, estimate the peak power that was emitted in gravitational waves recently detected by LIGO from two merging black holes. (Hint: the SI unit of power is a watt, 1 W = 1 kg m^2 s^-3.) [3 marks]
Classical Mechanics
A disc rotates about axis its angular velocity w varries with time according to the equation w=at+b initially at t=0 angular velocity 1rad per second and angular position 2rad at t=2sec angular velocity 5rad per sec. Determine angular position and angular acceleration
Classical Mechanics
How do I deduce the equation of displacement of a particle?
For example,
How was this equation, s=t^(2)+2t+4
made?
For example,
How was this equation, s=t^(2)+2t+4
made?
Classical Mechanics
Chuck exerts a force on a 1.1 kg push broom as he walks across the floor at a constant speed. The coefficient of friction between the floor and the broom is 0.45 and the broom handle makes an angle of 41 with the horizontal. Determine the amount of force with which Chuck pushes downward (along the handle of the broom) to achieve this constant speed motion
Classical Mechanics
Three people pull simultaneously on a stubborn donkey. Jack pulls directly ahead of the donkey with a force of 95.5 N
, Jill pulls with 77.9 N
in a direction 45° to the left, and Jane pulls in a direction 45° to the right with 133 N
. (Since the donkey is involved with such uncoordinated people, who can blame it for being stubborn?) Find the magnitude of the net force the people exert on the donkey.
, Jill pulls with 77.9 N
in a direction 45° to the left, and Jane pulls in a direction 45° to the right with 133 N
. (Since the donkey is involved with such uncoordinated people, who can blame it for being stubborn?) Find the magnitude of the net force the people exert on the donkey.
Classical Mechanics
The mass (in kg), position coordinates (in m) and velocity (in m s−1
) of a system of
three particles A, B and C are as follows:
Particle Mass Position Velocity
A 2.0 kg (0, 0) 0
r
B 1.0 kg (2, 0) 4.0 j
ˆ
C 3.0 kg (1, 1) 2.0 i
ˆ
Calculate the coordinates of the centre of mass of the system and its momentum.
) of a system of
three particles A, B and C are as follows:
Particle Mass Position Velocity
A 2.0 kg (0, 0) 0
r
B 1.0 kg (2, 0) 4.0 j
ˆ
C 3.0 kg (1, 1) 2.0 i
ˆ
Calculate the coordinates of the centre of mass of the system and its momentum.
