Equilibrium resolved along an inclined plane · Short practice
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Recall
Equilibrium resolved along an inclined plane — objective 1
Maths4U Original · Short practice
A 3 kg particle is in equilibrium on a smooth plane rising to the right. The acute angle α satisfies \(\displaystyle \sin\alpha=\frac{3}{5},\quad\cos\alpha=\frac{4}{5}\). A horizontal force P acts to the right. Use \(\displaystyle g= \frac{10m}{s^{2}}\).
Find P in N.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Fresh review variant
Equilibrium resolved along an inclined plane — objective 1
Maths4U Original · Short practice
A 4 kg particle is in equilibrium on a smooth plane rising to the right. The acute angle α satisfies \(\displaystyle \sin\alpha=\frac{5}{13},\quad\cos\alpha=\frac{12}{13}\). A horizontal force P acts to the right. Use \(\displaystyle g= \frac{10m}{s^{2}}\).
Find P in N.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Method
Equilibrium resolved along an inclined plane — objective 2
Maths4U Original · Short practice
A 4 kg particle is in equilibrium on a smooth plane rising to the right. The acute angle α satisfies \(\displaystyle \sin\alpha=\frac{5}{13},\quad\cos\alpha=\frac{12}{13}\). A horizontal force P acts to the right. Use \(\displaystyle g= \frac{10m}{s^{2}}\).
Find the normal reaction in N.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Fresh review variant
Equilibrium resolved along an inclined plane — objective 2
Maths4U Original · Short practice
A 5 kg particle is in equilibrium on a smooth plane rising to the right. The acute angle α satisfies \(\displaystyle \sin\alpha=\frac{8}{17},\quad\cos\alpha=\frac{15}{17}\). A horizontal force P acts to the right. Use \(\displaystyle g= \frac{10m}{s^{2}}\).
Find the normal reaction in N.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Apply
Equilibrium resolved along an inclined plane — objective 3
Maths4U Original · Short practice
A 5 kg particle is in equilibrium on a smooth plane rising to the right. The acute angle α satisfies \(\displaystyle \sin\alpha=\frac{8}{17},\quad\cos\alpha=\frac{15}{17}\). A horizontal force P acts to the right. Use \(\displaystyle g= \frac{10m}{s^{2}}\).
Find the component magnitude of P pressing into the plane, in N.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Fresh review variant
Equilibrium resolved along an inclined plane — objective 3
Maths4U Original · Short practice
A 6 kg particle is in equilibrium on a smooth plane rising to the right. The acute angle α satisfies \(\displaystyle \sin\alpha=\frac{3}{5},\quad\cos\alpha=\frac{4}{5}\). A horizontal force P acts to the right. Use \(\displaystyle g= \frac{10m}{s^{2}}\).
Find the component magnitude of P pressing into the plane, in N.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Check understanding
Equilibrium resolved along an inclined plane — objective 4
Maths4U Original · Short practice
A 6 kg particle is in equilibrium on a smooth plane rising to the right. The acute angle α satisfies \(\displaystyle \sin\alpha=\frac{3}{5},\quad\cos\alpha=\frac{4}{5}\). A horizontal force P acts to the right. Use \(\displaystyle g= \frac{10m}{s^{2}}\).
Find the component of weight down the plane, in N.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Fresh review variant
Equilibrium resolved along an inclined plane — objective 4
Maths4U Original · Short practice
A 7 kg particle is in equilibrium on a smooth plane rising to the right. The acute angle α satisfies \(\displaystyle \sin\alpha=\frac{5}{13},\quad\cos\alpha=\frac{12}{13}\). A horizontal force P acts to the right. Use \(\displaystyle g= \frac{10m}{s^{2}}\).
Find the component of weight down the plane, in N.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.