A wheel with a mass m = 25 kg, rolling radius r = 0.35 m and centroidal radius of gyration k =0.3 m, rests on a cart of
Posted: Mon May 09, 2022 9:26 am
A wheel with a mass m = 25 kg, rolling radius r = 0.35 m and
centroidal radius of gyration k =0.3 m, rests on a cart of mass M =
50 kg as shown in Figure 4. The static and kinematic coefficients
of friction between the wheel and the cart are S = 0.3 and k =
0.2, respectively. A horizontal force P is applied to the cart as
shown.
(a) Identify the type of ensuing motions of the wheel and the
cart.
(b) Set up a global axes system and draw the free body,
kinematic and kinetic diagrams of the system.
(c) Determine the maximum value of horizontal force P that may
be applied to the cart for which the wheel will not slip as it
begins to roll on the cart.
m, 7, 8 - Us: Ek M
centroidal radius of gyration k =0.3 m, rests on a cart of mass M =
50 kg as shown in Figure 4. The static and kinematic coefficients
of friction between the wheel and the cart are S = 0.3 and k =
0.2, respectively. A horizontal force P is applied to the cart as
shown.
(a) Identify the type of ensuing motions of the wheel and the
cart.
(b) Set up a global axes system and draw the free body,
kinematic and kinetic diagrams of the system.
(c) Determine the maximum value of horizontal force P that may
be applied to the cart for which the wheel will not slip as it
begins to roll on the cart.
m, 7, 8 - Us: Ek M