The tricycle weighing 20 kg has a small wheel symmetrically placed 1 m behind the two large wh

step 1 In this question we have given a tricycle whose weight is 20 kilogram and has a small wheel symm

The tricycle weighing 20 kg has a small wheel symmetrically...

The tricycle weighing $20 \mathrm{~kg}$ has a small wheel symmetrically placed $1 \mathrm{~m}$ behind the two large wheels, which are also $1 \mathrm{~m}$ apart. If the centre of gravity of machine be at a horizontal distance of $25 \mathrm{~cm}$ behind the front wheels and the rider whose weight is $40 \mathrm{~kg}$, be 10 $\mathrm{cm}$ behind the front wheels. The thrust on each front wheel is: (a) $255 \mathrm{~N}$ (b) $90 \mathrm{~N}$ (c) $200 \mathrm{~N}$ (d) $400 \mathrm{~N}$

The tricycle weighing $20 \mathrm{~kg}$ has a small wheel symmetrically placed $1 \mathrm{~m}$ behind the two large wheels, which are also $1 \mathrm{~m}$ apart. If the centre of gravity of machine be at a horizontal distance of $25 \mathrm{~cm}$ behind the front wheels and the rider whose weight is $40 \mathrm{~kg}$, be 10 $\mathrm{cm}$ behind the front wheels. The thrust on each front wheel is:
(a) $255 \mathrm{~N}$
(b) $90 \mathrm{~N}$
(c) $200 \mathrm{~N}$
(d) $400 \mathrm{~N}$

Key Concepts

Moment (Torque)

A moment, or torque, represents the rotational effect of a force applied at a distance from a pivot point. It is the product of the force and the perpendicular distance from the pivot, known as the lever arm. Balancing moments is critical for ensuring that no net rotational motion occurs, which is essential when analyzing systems in static equilibrium.

Lever Arm

The lever arm is the perpendicular distance from the axis or pivot point to the line of action of the force. It is a key factor in determining the magnitude of the moment because even a small force can produce a large moment if the lever arm is long. This concept is fundamental when calculating the effects of forces acting at various distances from a pivot in static systems.

Static Equilibrium

Static equilibrium refers to the condition where a body or system remains at rest, meaning that the sum of all forces and moments acting on it equals zero. This principle is crucial in analyzing problems where forces are balanced, such as determining the individual loads on wheels in a vehicle, ensuring that translational and rotational forces are in balance.

Centre of Gravity

The centre of gravity is the point at which the entire weight of an object can be considered to act. Its position is key in determining how the weight is distributed across different supports, allowing for the calculation of reaction forces. In vehicle dynamics, knowing the centre of gravity helps predict how weight shifts affect stability and load distribution.

Transcript

Please give Ace some feedback