A rubber eraser is placed at one edge of a quarter-circle-shaped track of radius R. It is then released. The coefficient of friction between the eraser and the surface of the track is μ = 0.6. Will the eraser move at all?

Is this solvable? 😀 One end of a rope is fixed to a vertical wall and the other end is pulled by a horizontal force of 20 N. The shape of the flexible rope is shown in the figure. Find its mass.

You got it. One related link holooly.com/solutions/one-… Thanks for the discussion

A flexible scatter rug, of mass M and length L, is tightly coiled into a cylinder of radius R (≪ L). If the coiled rug is released, in the absence of rolling friction, it spontaneously unrolls to full length. How large is a horizontal F to prevent the unrolling of the rug?

from 1994 CAP High School Prize Exams

Two blocks of masses 10 kg and 4 kg are con­nected by a spring of negligible mass and placed on a frictionless horizontal surface. An impulse gives a velocity of 14 m/s to the heavier block in the direction of the lighter block. What is the velocity of the center of mass?

A 2.0 kg block at rest on an inclined plane of inclination 37∘ is pulled up the plane by applying a constant force of 20 N parallel to the incline. The force acts for one second. Find the work done by gravity in that one second if the work done by the applied force is 40 J.

2021 JEE Advanced problem

A cylinder has a radius R and weight G. You try to roll it over a step of height h < R. The minimum force needed to roll the cylinder over is: From F = ma Exam A: January 23, 2019

Easy 😊

You want to make a snowman out of modelling clay. The snowman consists of two spheres, one sphere has a radius r, and the other has a radius 2r. The modelling clay comes in the form of a cylinder with radius r/2. What length of modelling clay is required to make the snowman?

🤓

A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is 11km/s, the escape velocity from the surface ofthe planet would be?

2009 Oxford PAT

2019 Canadian CAP High School/CEGEP Prize Exam Problem 8