(Requested by Tricky Bits)
Q- A wheel 1.9 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.15 rad/s2. The wheel starts from rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3o with the hori…
Q- The position vector of a particle moving on the rim of a rolling wheel in the x-y plane is given by
r = (10t + 5 cos 2t) i + (5 - 5 sin 2t) j, here r is in meters and t is in seconds. i and j are unit vectors in x and y directions respectively.
(a) What are the velocity and speed of the parti…
Q- A car travels around a flat curved road with constant speed.
(a) Draw Free body diagram for the car.
(b) What is direction of net force acting on the car?
(c) Is there a maximum speed to negotiate the curve? If so find an expression for it.
(d) If the road is banked, derived an expression for…
Q- A car accelerates uniformly from rest and reaches a speed 20.0 m/s in 10.0 s. The tires have diameter 60.0 cm and do not slip on the pavement.
(a) Find the number of revolutions each tire makes during this motion.
(b) What is the final angular speed of a tire in revolutions per second?
Q- A roller coaster car has a mass of 500kg when fully loaded with passengers. The radius of the coaster is 10m.
(a) If the vehicle has a speed of 20.0 m/s at the lowest point, what is the force exerted by the track on the car at this point?
(b) What is the maximum speed the vehicle at the hig…
Q1- A car moving at a speed of 35 m/s enters a curve that describes a quarter turn of radius 125 m. The driver gently applies the brakes, giving a constant tangential deceleration of magnitude 1.2 m/s2.
a) Just before emerging from the turn, what is the magnitude of the car's acceleration?
b) …
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