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In a simple pendulum experiment to determine g the equation used is
T = 2π √ (l /g)
where T, the period is found to be (2.16 ± 0.01) s when the length l of the pendulum is
(1.150 ± 0.005) m. Find the value of g and its uncertainty.
We talked about the pros and cons of uniforms and proved why uniforms are important
A cannonball was launched at the speed of 175 m/s into the air at an angle of 60° above the ground. As it reaches maximum height, a wind with air current speed of 300 m/s sent the ball perpendicularly off-course.
- What is the maximum height?
- What is the cannonball’s speed as it was knocked off-course (with respect to the air current)?
- What is the cannonball’s resultant at coordinates (x, z) ?
robyn is going skiing. A T-Bar is used to pull the skiers up the hill. the bill has an incline of 10.0 degrees above the horizontal. she starts from rest and has a mass of 50.0kg. the coefficient of friction between her skis and the snow is 0.100. the force on the cable of the T-bar is applied at 30.0 degrees to the surface of the hill. if the T-bar accelerates her at 3.92m/s2, find the force applied to the cable.
A horizontal disc of radius 9.00 cm rotates about an axis which passes vertically through
the center of the disc with angular velocity of 100 r.p.m. A small particle of mass 10g is
dropped onto the disc and sticks to the edge of the disc. If the angular velocity is reduced
to 90 r.p.m, determine the moment of inertia of the disc about the axis.
FIGURE 2 shows a 1.5 kg block is hung by a light string which is wound around a
smooth pulley of radius 20 cm. The moment of inertia of the pulley is 2 kg m2
(i) Sketch the free body diagram of the 1.5 kg block.
(ii) When the mass is released from rest, calculate the angular velocity and number of
revolutions of the pulley at t = 4.2 s.
Sam, Choi, Mich, Pia, and Sheen are on a 6’ x 4’ rectangular balsa. They are having trouble keeping the balsa balanced as they are unaware of their center of mass. Find their center of mass, given the following:
Sam is at 3 feet east, and 2 feet north of the balsa’s geometric center. She weighs 78 kg.
Choi is 2 feet east, and 2 feet south of the geometric center. He weighs 52 kg.
Mich is the geometric center of the balsa. He weighs 45 kg.
Pia is at 4 feet west, and 2 feet south of the geometric center. She weighs 56 kg.
Sheen is at 1 foot west of the balsa’s geometric center. She weighs 75 kg.
A particle moves along the x-axis according to the equation x(t) = 2.0 − 4.0t2 m. What are the velocity and acceleration at t = 2.0 s and t = 5.0 s?
Calculate the work done when a car is pushed with a resultant force of 800N
for 30m.
