NEW
Font size
WorksheetsEB TRIVIA
Total questions: 50
Worksheet time: 27mins
A force in 3D space is usually resolved into which components?
Tangential and normal components
Cartesian components (x, y, z)
Radial and transverse components
Cylindrical coordinates
Which of the following is NOT a method for resolving a 3D force into components?
Rectangular components
Spherical coordinates
Polar coordinates
Cartesian coordinates
A force F = 200i + 300j + 400k N acts on a particle. What is the magnitude of the force?
500 N
600 N
700 N
800 N
A force F is defined as F = (200i - 100j + 50k) N. If the force makes an angle θ with the x-axis, what is cos(θ)?
0.89
0.92
0.94
0.98
Which of the following is NOT included in a Free Body Diagram?
All external forces
All internal forces
Reaction forces
The object isolated from surroundings
In a free body diagram, a smooth surface only exerts a:
Normal force
Friction force
Tensile force
Moment force
When drawing an FBD, how do you represent a pin support?
A single force
A force and a moment
Two perpendicular reaction forces
A force along the body’s axis
If a rope is in tension in an FBD, how should the force be represented?
Acting towards the object
Acting away from the object
Acting horizontally
Acting perpendicularly
A beam is supported by a pinned support at A and a roller at B. How many unknown reaction forces exist in the FBD?
2
3
4
5
A particle is in equilibrium if:
The sum of forces is zero
The sum of forces is positive
The sum of forces is negative
The sum of forces is a constant
The equilibrium equations for a particle in 2D are based on:
Newton’s First Law
Newton’s Second Law
Newton’s Third Law
The Work-Energy Principle
A box is pulled by forces 100N at 0°, 150N at 90°, and 200N at 180°. What is the net force in the x-direction?
-100 N
50 N
100 N
150 N
If a force F = (3i + 4j) N acts on a particle, what must be added to maintain equilibrium?
(-3i - 4j) N
(3i + 4j) N
(-4i - 3j) N
(4i - 3j) N
A ladder rests against a smooth wall and rough floor. How many unknown reactions exist for equilibrium analysis?
2
3
4
5
A moment is a measure of:
Rotational effect of a force
Linear force
Velocity
Acceleration
Moment is calculated as:
Force / Distance
Force × Mass
Force × Distance
Mass × Acceleration
A 100N force is applied at a distance of 2m from a pivot. The moment is:
100 Nm
200 Nm
300 Nm
400 Nm
If a force acts along the pivot point, its moment is:
Zero
Maximum
Minimum
Undefined
A rigid body is in equilibrium when:
∑F = 0 and ∑M = 0
∑F = 0
∑M = 0
∑F ≠ 0 and ∑M ≠ 0
A roller support prevents:
Only horizontal movement
Only vertical movement
Both vertical and horizontal movement
Rotational movement
How many independent equations of equilibrium exist in 2D?
1
2
3
4
A beam has a fixed support at A and a roller at B. How many reaction forces exist?
1
2
3
4
A beam experiences three non-parallel forces. The system is in equilibrium if:
Forces form a closed triangle
Forces pass through a single point
Moments sum to zero
All of the above
To resolve a 3D force into its components, which trigonometric functions are commonly used?
Sine and cosine
Tangent and cotangent
Secant and cosecant
Exponential and logarithm
A force of 100 N is acting at an angle 30° from the x-axis in the x-y plane. What is its x-component?
50 N
86.6 N
100 N
43.3 N
A force F = 500 N makes angles α = 45°, β = 60°, and γ = 30° with the x, y, and z axes, respectively. What is the x-component of the force?
250 N
400 N
354 N
289 N
A force F = 200 N is applied at an angle of 60° from the x-axis and 45° from the y-axis. What is its z-component?
141.4 N
100 N
173.2 N
50 N
If a force F = 300 N has components Fx = 150 N and Fy = 200 N, what is Fz if the total force is 300 N?
150 N
200 N
100 N
250 N
Two forces F1 = (200, -100, 300) N and F2 = (-150, 250, -200) N act on a particle. What is the resultant force vector?
(50, 150, 100) N
(350, 150, 500) N
(-50, 350, 100) N
(50, 150, -500) N
In a series circuit, the total resistance is:
The sum of all individual resistances
The reciprocal sum of individual resistances
Always equal to the smallest resistance
Always equal to the largest resistance
In a parallel circuit, the total resistance is:
Greater than the smallest individual resistance
Less than the smallest individual resistance
Equal to the largest individual resistance
The sum of all resistances
A series circuit consists of three resistors: 5Ω, 10Ω, and 15Ω. What is the total resistance?
10Ω
15Ω
30Ω
50Ω
Three resistors (6Ω, 12Ω, and 18Ω) are connected in parallel. What is the total resistance?
3Ω
4Ω
5Ω
6Ω
A series-parallel circuit consists of two 10Ω resistors in series, connected in parallel with a 20Ω resistor. What is the total resistance?
5Ω
10Ω
20Ω
40Ω
Ohm’s Law states that V = IR. What does R represent?
Resilience
Resistance
Respect
Replace
If a 12V battery is connected across a 6Ω resistor, what is the current?
0.5A
1A
2A
3A
A 24V source is connected in series with a 4Ω and 6Ω resistor. What is the current in the circuit?
1.2A
2.4A
3.0A
4.8A
In a voltage divider circuit, which equation is correct?
Vout = Vin × (R1 / (R1 x R2))
Vout = Vin × (R2 / (R1 + R2))
Vout = Vin × (R1 + R2 / R1)
Vout = Vin × (R1 × R2 / (R1 + R2))
In a current divider circuit, the current through a 10Ω resistor is 2A. If this resistor is in parallel with a 5Ω resistor, what is the total current supplied by the source?
4A
6A
8A
10A
Kirchhoff’s Current Law (KCL) states that:
The sum of voltages in a loop is zero
Power is equal to voltage multiplied by current
Resistance in series adds up
The sum of currents at a node is zero
Kirchhoff’s Voltage Law (KVL) states that:
The sum of voltages around a closed loop is zero
The sum of currents at a node is equal to the applied voltage
Voltage is the product of current and resistance
The total resistance in parallel is always greater than any individual resistance
In the circuit below, 5A enters a node and two branches leave, one with 3A. What is the current in the second branch?
1A
2A
3A
4A
In a closed circuit loop, the sum of voltage drops is 20V. If the applied voltage is 25V, what is the remaining voltage?
0V
5V
45V
10V
An AC voltage source produces a sinusoidal waveform. The standard equation for AC voltage is:
V=Vmax sin(ωt)
V=Vmax cos(ωt)
V=IR
The frequency of an AC waveform is measured in:
Volts
Ohms
Hertz
Amperes
The phase difference between voltage and current in a purely resistive circuit is:
0∘
90∘
180∘
45∘
A sine wave has a peak voltage of 20V. What is its RMS voltage?
14.14V
10V
20V
28.28V
Two AC signals have phase angles of 30° and -60°. What is the phase difference between them?
90°
30°
60°
120°
In an RLC series circuit, which component opposes changes in current?
Resistor
Inductor
Capacitor
Transformer
If a capacitor is connected in an AC circuit, the voltage lags the current by:
0°
90°
180°
270°
