An engineer designs a robot that can climb stairs. If the robot climbs with a constant speed v, battery of the robot discharges completely in a time interval τ. This dependence is shown in the following graph.With the help of the graph, determine the maximum length of a staircase, which the robot can climb with a constant velocity.

A metal strip clamped at one end vibrates with a frequency of 20 Hz and amplitude of 5 mmat the free end, where a small mass of 2 g is positioned. determine(i) The velocity of the end when passing through the zero position(ii) The acceleration at maximum displacement(iii) The maximum kinetic energy of the mass

An object of mass m = 0.25 kg oscillates in a fluid at the end of a vertical spring of springconstant kH = 85 N/m, see Fig.1. The effect of the fluid resistance is governed by thedamping constant b = 0.07kg/s.(i) Find the period of the damped oscillation.(ii) By what percentage does the amplitude of the oscillation decrease in each cycle?

If a=x² find the displacement at t =3sec if body velocity at t= 0 sec is 0

A particle is traveling in a circle of radius R =2.5m and with an angular velocity of 10 rad/s. What is the centripetal acceleration of the particle? The particle begins to slow down with an angular acceleration of -1 rad/s2. After 5 seconds, what is the centripetal acceleration and the tangential acceleration fo the particle?

If the acceleration of block A is 5 m/s^2Find the acceleration of block B