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Classical Mechanics
A truck is moving north at a speed of 70 km/h. The exhaust pipe above the truck sends out a trail of smoke that makes an angle of 20o east of south behind the truck. If the wind is blowing directly toward the east, what is the wind speed at that location?
Classical Mechanics
Find the resultant of the following two displacements: 2 m at 40o and 4 m at 120o. Angles taken relative to + x-axis.
Classical Mechanics
A truck is moving north at a speed of 70 km/h. The exhaust pipe above the truck sends out a trail of smoke that makes an angle of 20o east of south behind the truck. If the wind is blowing directly toward the east, what is the wind speed at that location?
Classical Mechanics
A boy is standing atop a staircase of 8 stairs each stair being 20 cm high and 20 cm wide. He releases a ball of 500 gm from 50 cm above the floor. 1) what is kinetic energy at the time of release of ball? 2) what will be velocity of ball at third step from ground? (g= 10 m/s^2)
Classical Mechanics
A projectile is launched at a speed of 20 m/s and at an angle of 25 degrees above the horizontal. What is the maximum height of the projectile?
Classical Mechanics
a photon of yellow light of frequency
5.0 * 10^14Hz is emitted in a time of
10^-8 seconds
evaluate 1. the length of the wave train
2. the number of complete oscillations present in the wave train
5.0 * 10^14Hz is emitted in a time of
10^-8 seconds
evaluate 1. the length of the wave train
2. the number of complete oscillations present in the wave train
Classical Mechanics
Write down equations for the following constraints of mechanical systems
and classify them with respect to whether they are scleronomic or rheonomic and
holonomic or not nonholonomic.
a) A small ball which rolls down on the surface of a big ball without friction.
b) The suspension point of a planar pendulum carries out harmonic horizontal
oscillations.
c) A bead moving freely on a long straight wire through the origin, which rotates
in the x-y plane with constant angular velocity w about the z-axis.
d) A bead slides along a straight wire. The wire has constant inclination a
towards the horizontal x-y-plane and moves with constant acceleration in x
direction.
and classify them with respect to whether they are scleronomic or rheonomic and
holonomic or not nonholonomic.
a) A small ball which rolls down on the surface of a big ball without friction.
b) The suspension point of a planar pendulum carries out harmonic horizontal
oscillations.
c) A bead moving freely on a long straight wire through the origin, which rotates
in the x-y plane with constant angular velocity w about the z-axis.
d) A bead slides along a straight wire. The wire has constant inclination a
towards the horizontal x-y-plane and moves with constant acceleration in x
direction.
Classical Mechanics
Let r= r(q1 ... qn, t). The generalized coordinates qi are not necessarily independent. Show that
a) ar/(agi)=ai/(aqi)
b)ai/(aqi) =d/(dt) ar/(aqr)
a) ar/(agi)=ai/(aqi)
b)ai/(aqi) =d/(dt) ar/(aqr)
Classical Mechanics
There's a hanging mass, and a cart attached to it via a string.
1) If the hanging mass is much heavier than the mass of the cart, what would be the acceleration of the system? Explain why.
2) If the hanging mass and the cart were the exact same mass, what would be the acceleration of the system? Explain why.
No values are required! Just a general explanation. Please try to explain in words (Ex. the acceleration would be zero because...) instead of just formulas, it helps me understand better! You may use formulas to represent what you are saying but I'd like a more wordy explanation. Thanks so much.
Classical Mechanics
2. An object is thrown upward and returns to the ground 12 seconds. How high did the ball go?
3. A bus is traveling with a uniform velocity of 20 m/s. At the instant it passes a car at rest, the car starts to accelerate at 4 m/s2 in the same direction as the velocity of the bus. (a) After how many seconds will the car overtake the bus? (b) How far will the car travel before overtaking the bus?
3. A bus is traveling with a uniform velocity of 20 m/s. At the instant it passes a car at rest, the car starts to accelerate at 4 m/s2 in the same direction as the velocity of the bus. (a) After how many seconds will the car overtake the bus? (b) How far will the car travel before overtaking the bus?
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#339914 on Dec 2023
#339914 on Dec 2023