In order to find the different components of forces, we will apply newton's second law of motion on the bug in the respective directions. From this by forming different equations from our available data we can get the acceleration.
Consider a bug which is crawling on the surface of a turntable rotating with constant angular...
1. A cockroach crawls with a constant speed v'in a circular path of radius b on a record turntable rotating in the horizontal plane with an angular speed w. What is the acceleration in terms of v', b and w) of the cockroach when viewed from an inertial frame if the cockroach is moving in the same direction as the rotation. A diagram must be included in your solution. (6 marks)
The flywheel of a steam engine runs with a constant angular speed of 416 rev/min (in the counterclockwise direction). When the steam is shut off, the friction of the bearings stops the wheel in 2.1 h. (HINT: Be careful with the units.) (a) What is the magnitude of the constant angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b) How many revolutions does the wheel make before stopping? (c) At the instant the flywheel is turning...
(Cross identities only) A large flat horizontal platform rotates at a constant angular speed ω. A person on the platform walks in a circular path of radius R0 centered on the axis of the platform with a constant linear speed v relative to the platform’s surface. The coefficient of friction between the person and the platform’s surface is µ and the mass of the person is m. How fast can the person walk if: (a) they move in the direction...
1. A hoop of wire in the shape of a circle of radius RAs mounted vertically and rotates at constant angular speed w about a vertical axis through its center. A bead with the mass of m moves smoothly on the wire. Find the equilibrium positions and discuss their Stabili when we neglect the damping effect on the bead motion. Consider two cases, e the hoop is rotating slowly9/R), (u 9/R). Here g is the gravity. n. ) when the...
1. IP A turntable with a moment of inertia of 5.2×10−3 kg⋅m2 rotates freely with an angular speed of 3313rpm . Riding on the rim of the turntable, 19 cm from the center, is a cute, 32 g mouse.A) If the mouse walks to the center of the turntable, will the turntable rotate faster, slower, or at the same rate? (Answer is Slower)B) Explain.C) Calculate the angular speed of the turntable when the mouse reaches the center.2. One elevator arrangement...
An airplane flies in a great circle route of radius R with a constant relative velocity vo to the earth which is rotating at ae. The angle between the normal direction of the big circle plane and the earth axis is 45° Solve for the airplane's acceleration relative to a 1. non-rotating frame trang with the earth's center. (30 pints) ee er x' Great circle frame (x'y'z') Great circle route An airplane flies in a great circle route of radius...
Q15 A car is moving on a circular track at constant speed v 40 MPH. The radius of the track is R 30 m. when the car has traveled a distance of πR, its acceleration is a) Pointing towards the center of the circle and equal to 10.7 m/s2 b) Pointing along the circle and equal to 10.7 m/s c) 0 d) None of the above.
1a. 1b. 1c. A uniform solid ball rolls smoothly along a floor, then up a ramp inclined at 24.1. It momentarily stops when it has rolled 2.40 m along the ramp. What was its initial speed? NumberT4.38 Unitsm's A certain gyroscope consists of a uniform disk with a 33.0 cm radius mounted at the center of an axle that is 11.0 cm long and of negligible mass. The axle is horizontal and supported at one end. If the disk is...
A satellite consists two cylinders which can rotate relative to each other about the common axis of summetry. The rotation can be precisely controlled through a built-in motor. Both cyllinders can be asuumed to be uniform; they have the same mass, m = 10.0 kg, and the same radius rc = 0.30m. The top cylinder has attached to it two balls, each of which has mass 1.0 kg and radius rb = 0.1m. Each ball is fastened to the end...
In a loop-the-loop ride a car goes around a vertical, circular loop at a constant speed. The car has a mass m = 286 kg and moves with speed v = 13.82 m/s. The loop-the-loop has a radius of R = 8 m. 1) What is the magnitude of the normal force on the care when it is at the bottom of the circle? (But as the car is accelerating upward.) 2) What is the magnitude of the normal force...